{"id":11235,"date":"2021-02-23T22:27:16","date_gmt":"2021-02-23T16:57:16","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=11235"},"modified":"2022-08-16T01:19:15","modified_gmt":"2022-08-15T19:49:15","slug":"02-03-01-3","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/combined-mathematics\/02-03-01-3\/","title":{"rendered":"02.03.01 &#8211; \u0dc0\u0dd3\u0da2\u0dd3\u0dba \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf"},"content":{"rendered":"\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1fMG2zZQ2m0jiTXexO7p8NrUJWlS80LZG\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"has-text-color wp-block-list\" style=\"color: #ff0000\">\r\n<li><strong>\u0dc3\u0d82\u0dba\u0dd4\u0d9a\u0dca\u0dad \u0d9c\u0dab\u0dd2\u0dad\u0dba I\u00a0 (\u0dc1\u0dd4\u0daf\u0dca\u0db0 \u0d9c\u0dab\u0dd2\u0dad\u0dba)\u00a0 \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dad\u0dca\u200d\u0dbb\u0dba\u0dda\u00a0 A \u0d9a\u0ddc\u0da7\u0dc3\u0dda \u0dbd\u0d9a\u0dd4\u0dab\u0dd4 25 \u0d9a \u0d9c\u0dd0\u0da7\u0dbd\u0dd4\u0dc0\u0d9a\u0dca \u0db8\u0dd9\u0db8 \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad \u0dc0\u0dbd\u0dd2\u0db1\u0dca \u0d87\u0dad\u0dd4\u0dc5\u0dad\u0dca \u0d9a\u0dbb \u0d87\u0dad.<\/strong><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0dc3\u0d82\u0d9a\u0dda\u0dad \u0dc4\u0daf\u0dd4\u0db1\u0dcf \u0d9c\u0dd0\u0db1\u0dd3\u0db8<\/strong><\/h3>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{l}a\\in\\mathbb{R}\\;\\text{\u0db1\u0db8\u0dca}\\;,\\;\\;\\;\\;(\\in=\\text{\u0d85\u0dba\u0dad\u0dca\u0dc0\u0dda, \u0d87\u0dad\u0dd4\u0dbd\u0dad\u0dca\u0dc0\u0dda}\\;)\\;.\\\\a\\;\\text{\u0db0\u0db1 \u0db1\u0db8\u0dca }\\;a\\in(0\\;,\\infty)\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\u0d8b\\text{\u0daf\u0dcf}\\;:-\\;\\;\\left[a\\;=\\;7\\;,\\;a\\;\\text{\u0db0\u0db1\u0dc0\u0dda}\\right]\\\\a\\;\\text{\u0dc1\u0dd6\u0db1\u0dca\u200d\u0dba \u0db1\u0db8\u0dca}\\;a\\in(0)\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\left[\\;a\\;=\\;0\\right]\\\\a\\;\\text{\u0d8d\u0dab  \u0db1\u0db8\u0dca}\\;\\;a\\in(0\\;,-\\infty)\\;\u0dad\u0dc0\u0daf\\;(-a)\\text{ \u0db0\u0db1\u0dc0\u0dda}\\operatorname{   }\\;\\;\\;\\;\\;\\;\\;\\;\\;\\left[\\text{a = -7 \u0db1\u0db8\u0dca (-a) = 7 , (-a)  \u0db0\u0db1 \u0dc0\u0dda.}\\right]\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf 2 \u0d9a \u0dc0\u0dd2\u0dc1\u0dcf\u0dbd\u0dad\u0dca\u0dc0 \u0dc3\u0d82\u0dc3\u0db1\u0dca\u0daf\u0db1\u0dba\u00a0\u00a0 \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dd3\u0db8\u0da7 \u00a0&gt; , = , &lt; (\u0dc3\u0d82\u0d9b\u0dda\u0dad 3\u0db8 \u22db \u0dbd\u0dd9\u0dc3 \u0dc3\u0dcf\u0db8\u0dcf\u0db1\u0dba\u0dd9\u0db1\u0dca\u00a0 \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dda ) \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dcf \u0d9a\u0dbb\u0dba\u0dd2.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex\">\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis: 33.33%\">\r\n<ul class=\"wp-block-list\">\r\n<li>\u0d9a\u0dd4\u0da9\u0dcf\u00a0\u00a0 &lt; \u00a0\u0dc0\u0dd2\u0dc1\u0dcf\u0dbd<\/li>\r\n<\/ul>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis: 66.66%\">\r\n<ul class=\"wp-block-list\">\r\n<li>a \u0db0\u0db1 \u0db1\u0db8\u0dca\u00a0 \u2192\u00a0 a &gt; 0 , 0 &lt; a<\/li>\r\n<li>a \u0dc1\u0dd6\u0db1\u0dca\u200d\u0dba \u0db1\u0db8\u0dca \u2192\u00a0 a = 0<\/li>\r\n<li>a \u0d8d\u0dab \u0db1\u0db8\u0dca \u2192 a &lt; 0, 0 &gt; a<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dc4\u0dd0\u0daf\u0dd2\u0db1\u0dca\u0dc0\u0dd3\u0db8<\/h3>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>a \u0dc4\u0dcf b \u0dba\u0db1\u0dd4 \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc3\u0d82\u0d9b\u0dba\u0dcf \u0daf\u0dd9\u0d9a\u0d9a\u0dca \u0dc0\u0dd2\u0da7,\r\n<ol style=\"list-style-type: lower-alpha\">\r\n<li>a&gt;b \u0dc0\u0db1\u0dca\u0db1\u0dda (a-b), \u0daf\u0db1 \u0db1\u0db8\u0dca \u0dc4\u0dcf \u0db1\u0db8\u0dca\u0db8 \u0db4\u0db8\u0db1\u0dd2<\/li>\r\n<li>a&lt;b \u0dc0\u0db1\u0dca\u0db1\u0dda ,b&gt; a \u0db1\u0db8\u0dca \u0dc4\u0dcf \u0db1\u0db8\u0dca\u0db8 \u0db4\u0db8\u0db1\u0dd2.<\/li>\r\n<li>a \u2265b \u0dc0\u0db1\u0dca\u0db1\u0dda a&gt;b \u0dc4\u0ddd a=b \u0db1\u0db8\u0dca \u0dc4\u0ddd \u0db1\u0db8\u0dca\u0db8 \u0db4\u0db8\u0db1\u0dd2.<\/li>\r\n<li>a\u2264b \u0dc0\u0db1\u0dca\u0db1\u0dda a&lt;b \u0dc4\u0ddd a=b \u0db1\u0db8\u0dca \u0dc4\u0ddd \u0db1\u0db8\u0dca\u0db8 \u0db4\u0db8\u0db1\u0dd2.<\/li>\r\n<\/ol>\r\n<\/li>\r\n<li>a&gt;b , a&lt;b \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dda \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dc3\u0dd8\u0da2\u0dd4 \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dbd\u0dd9\u0dc3 \u0dc4\u0dd0\u0daf\u0dd2\u0db1\u0dca\u0dc0\u0dda.<\/li>\r\n<li>\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0db8\u0d9c\u0dd2\u0db1\u0dca \u0dc3\u0db8\u0dca\u0db6\u0db1\u0dca\u0db0 \u0d9a\u0dd2\u0dbb\u0dd3\u0db8\u0dd9\u0db1\u0dca \u0dc3\u0dd1\u0daf\u0dd4\u0db1\u0dd4 a\u2265b \u0dc4\u0dcf a\u2264b \u0d86\u0d9a\u0dbb\u0dba\u0dda \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dc3\u0dd8\u0da2\u0dd4 \u0db1\u0ddc\u0dc0\u0dd6 \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dbd\u0dd9\u0dc3 \u0dc4\u0dd0\u0daf\u0dd2\u0db1\u0dca\u0dc0\u0dda.<br \/><br \/><strong>\u0d8b\u0daf\u0dcf:-<\/strong> \u0d89\u0dc4\u0dad \u0dc4\u0dd0\u0daf\u0dd2\u0db1\u0dca\u0dc0\u0dd3\u0db8\u0da7 \u0d85\u0db1\u0dd4\u0dc0 \u0dc3\u0dad\u0dca\u200d\u0dba \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0d9a\u0dd2\u0dc4\u0dd2\u0db4\u0dba\u0d9a\u0dca,\r\n<ol>\r\n<li>5&gt;1<\/li>\r\n<li>2&lt;6<\/li>\r\n<li>-1&lt;3<\/li>\r\n<li>7\u22652<\/li>\r\n<li>2\u22642<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0dc0\u0dd3\u0da2\u0dd3\u0dba \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0d85\u0dc1\u0dca\u200d\u0dbb\u0dd2\u0dad \u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0db1\u0dca \u0dc4\u0dcf \u0dc3\u0dcf\u0db0\u0db1 <\/strong><\/h3>\r\n\r\n\r\n\r\n<h4 class=\"wp-block-heading\"><strong>\u0dad\u0dd2\u0daf\u0dcf\u0d9a\u0dbb\u0dab\u0db1\u0dd3\u0dad\u0dd2\u0dba \u0d85\u0dbb\u0dca\u0dae \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dd3\u0db8 <\/strong><\/h4>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>a-b &gt; 0 \u0db1\u0db8\u0dca \u0dc4\u0dcf \u0db1\u0db8\u0dca \u0db8 \u0db4\u0db8\u0dab\u0d9a\u0dca\u200d a &gt; b \u0dba\u0dd0\u0dba\u0dd2 \u0d85\u0dbb\u0dca\u0dae \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dda.<\/li>\r\n<li>a-b &lt; 0 \u0db1\u0db8\u0dca \u0dc4\u0dcf \u0db1\u0db8\u0dca \u0db8 \u0db4\u0db8\u0dab\u0d9a\u0dca\u200d a &lt; b \u0dba\u0dd0\u0dba\u0dd2 \u0d85\u0dbb\u0dca\u0dae \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0dc3\u0dcf\u0db0\u0db1\u0dba\r\n<ul>\r\n<li>a \u0dc4\u0dcf b \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf 2 \u0d9a\u0dca \u0db1\u0db8\u0dca \u0dc4\u0ddd a &gt; b \u0dc4\u0ddd a = b \u0db1\u0db8\u0dca \u0dc4\u0ddd a &lt; b \u0dbd\u0dd9\u0dc3 \u0dc0\u0dda.<\/li>\r\n<li>a &gt; b \u0db1\u0db8\u0dca a = b + x \u0dc0\u0db1 \u0db4\u0dbb\u0dd2\u0daf\u0dd2 x\u03f5\u211d<strong><sup>+<\/sup><\/strong>\u0db4\u0dc0\u0dad\u0dd3. \u0d91\u0dc0\u0dd2\u0da7 a\u2013b = x \u0dc0\u0dda.<\/li>\r\n<li>a = b \u0db1\u0db8\u0dca a-b =0 \u0dc0\u0dda.<\/li>\r\n<li>a &lt; b \u0db1\u0db8\u0dca\u00a0\u00a0 a=b \u2013 x \u0dc0\u0db1 \u0db4\u0dbb\u0dd2\u0daf\u0dd2 x\u03f5\u211d<strong><sup>+<\/sup><\/strong> \u0db4\u0dc0\u0dad\u0dd3. \u0d91\u0dc0\u0dd2\u0da7 a\u2013b = -x \u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 1<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-vivid-red-color\">\u0d95\u0db1\u0dd1\u0db8 a \u03f5 \u211d \u0dc3\u0db3\u0dc4\u0dcf \u00a0a<sup>2<\/sup> \u2265 0\u00a0 ; \u0d91\u0db1\u0db8\u0dca \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf\u0d9a \u0dc0\u0dbb\u0dca\u0d9c\u0dba \u0d8d\u0dab \u0db1\u0ddc\u0dc0\u0db1 \u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf\u0dc0\u0d9a\u0dd2.<\/span><br \/><br \/>\u0dc3\u0dcf\u0db0\u0db1\u0dba\u00a0<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>{\\begin{array}{l}a\\epsilon \u211d\\;\\text{\u0dc0\u0dd2\u0da7},\\\\(1).\\;a&gt;0\\;\\text{\u0db1\u0db8}\\rightarrow a^2=a\\times a&gt;0\\\\(2).\\;a=b\\;\\text{\u0db1\u0db8}\\rightarrow a^2=a\\times a=0\\times0=0\\\\(3).\\;a&lt;0\\;\\text{\u0db1\u0db8\u0dca}\\rightarrow a^2=(-a)\\times(-a)&gt;0\\end{array}}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-color\" style=\"color: #ff0000\">a \u03f5 \u211d \u00a0, a<sup>2<\/sup> \u22650 \u0dc0\u0dda. a=0 \u0dc0\u0dd2\u0da7 \u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0d9c\u0dd0\u0dc5\u0db4\u0dda \u0d91\u0db1\u0db8\u0dca a<sup>2<\/sup>=0 \u0dc0\u0dda. a \u2260 0 \u0db1\u0db8\u0dca\u00a0 a<sup>2<\/sup>&gt; 0 \u0dc0\u0dda.<\/p>\r\n\r\n\r\n\r\n<p><strong>\u0d8b\u0daf\u0dcf\u0dc4\u0dbb\u0dab :-<\/strong><\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">x\\in\\mathbb{R}<\/span> \u00a0, \u0db1\u0db8\u0dca\u00a0 x<sup>2 <\/sup>&#8211; 2x + 1 \u2265 0 \u0db6\u0dc0 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{l}x\\in\\mathbb{R},\\;x^2-2x+1\\;\\left[\\therefore\\;x\\in\\mathbb{R}\\;\\text{\u0db1\u0db8\u0dca}\\;(x-1)\\in\\mathbb{R}\\;\\text{\u0dc0\u0dda}.\\right]\\;\\therefore\\;(x-1)^2\\geq0\\\\x=1\\;\\text{\u0dc0\u0dd2\u0da7 \u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0d9c\u0dd0\u0dc5\u0db4\u0dda}\\;.x\\in\\mathbb{R}\\;,\\;x^2-2x+1=(x-1)^2\\geq0\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>x, y \u0dc3\u0dc4 <span class=\"wp-katex-eq\" data-display=\"false\">z\\in\\mathbb{R}<\/span> \u0db1\u0db8\u0dca\u00a0 2x<sup>2<\/sup> + 2y<sup>2<\/sup> + 2z<sup>2<\/sup> &#8211; 2xy \u2013 2xz \u2013 2yz \u2265 0 \u0db6\u0dc0 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}2x^2+2y^2+2z^2-2xy\u20132xz\u20132yz&amp;=&amp;x^2+x^2+y^2+y^2+z^2+z^2-2xy\u20132xz\u20132yz\\\\&amp;=&amp;(x^2-2xy+y^2)+(x^2\u20132xz+z^2)+(y^2-2yz+z^2)\\\\&amp;=&amp;(x-y)^2+(x-z)^2+(y-z)^2\\\\&amp;&amp;{\\;\\;\\geq0\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\geq0\\;\\;\\;\\;\\;\\;\\;\\;\\geq0}\\\\(x&amp;=&amp;y=z\\;\\text{\u0dc0\u0dd2\u0da7 \u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0d9c\u0dd0\u0dc5\u0db4\u0dda})\\\\\\because(x-y)&amp;\\in&amp;\\mathbb{R},\\;(x-y)^2\\geq0\\;\\because(x\u2013z)\\in\\mathbb{R},(x-z)^2\\geq0,\\;\\because(y-z)\\in\\mathbb{R},\\;(y-z)^2\\geq0\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">x\\in\\mathbb{R}<\/span>\u00a0, \u0db1\u0db8\u0dca x &#8211; 6x + 9 \u2265 0\u00a0 \u0db6\u0dc0 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}x^2-6x+9&amp;=&amp;(x-3)^2\\geq0\\;\\left[\\because x\\in\\mathbb{R},\\;(x-3)\\in\\mathbb{R}\\;\\text{\u0dc0\u0dda},\\;x=3\\;\\text{\u0dc0\u0dd2\u0da7 \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0d9c\u0dd0\u0dc5\u0db4\u0dda.}\\right]\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 2<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"has-black-color has-text-color wp-block-list\">\r\n<li><span class=\"has-inline-color has-black-color\">(a,b \u0dc3\u0dc4 c) \u03f5 \u211d \u00a0\u0dc3\u0db3\u0dc4\u0dcf a &gt; b \u2192 (a + c )&gt; (b + c)<\/span><\/li>\r\n<li><span class=\"has-inline-color\" style=\"color: #ff0000\">\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0\u0d9a \u0daf\u0dd9\u0db4\u0dc3\u0da7 \u0d91\u0d9a\u0db8 \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf \u0d91\u0d9a\u0dad\u0dd4 \u0d9a\u0dc5 \u0dc0\u0dd2\u0da7 \u0d91\u0dbd\u0dd9\u0dc3 \u0db8 \u0db4\u0dc0\u0dad\u0dd3.<\/span>\r\n<ul>\r\n<li>x &gt; 2 \u0db1\u0db8\u0dca x+1 &gt; 3<\/li>\r\n<li>x &gt; 2 \u0db1\u0db8\u0dca x-1 &gt; 1<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 3<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-black-color\">\u00a0a \u0dc3\u0dc4 b \u03f5 \u211d, k &gt; 0 \u0dc3\u0db3\u0dc4\u0dcf a &gt; b \u2192 ka &gt; kb<\/span><\/li>\r\n<li><span class=\"has-inline-color\" style=\"color: #ff0000\">\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0\u0d9a \u0daf\u0dd9\u0db4\u0dc3 \u0d91\u0d9a\u0db8 \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf\u0dc0\u0d9a\u0dd2\u0db1\u0dca \u00a0\u0d9c\u0dd4\u0dab \u0d9a\u0dc5 \u0dc0\u0dd2\u0da7 \u0d91\u0dbd\u0dd9\u0dc3 \u0db8 \u0db4\u0dc0\u0dad\u0dd3.<\/span>\r\n<ul>\r\n<li>5 &gt; 2 \u0db1\u0dd2\u0dc3\u0dcf 10 &gt; 4<\/li>\r\n<li>x &gt; 1 \u0db1\u0db8\u0dca 2x &gt; 2<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 4<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-black-color\">a \u0dc3\u0dc4 b \u03f5 \u211d, k &lt; 0 \u0dc3\u0db3\u0dc4\u0dcf a &gt; b \u2192 ka &lt; kb<\/span><\/li>\r\n<li><span class=\"has-inline-color\" style=\"color: #ff0000\">\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0\u0d9a \u0daf\u0dd9\u0db4\u0dc3 \u0d91\u0d9a\u0db8 \u0d8d\u0dab \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf\u0dc0\u0d9a\u0dd2\u0db1\u0dca\u00a0 \u0d9c\u0dd4\u0dab \u0d9a\u0dc5 \u0dc0\u0dd2\u0da7 \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0db4\u0dca\u200d\u0dbb\u0dad\u0dd2\u0dc0\u0dd2\u0dbb\u0dd0\u0daf\u0dca\u0db0 \u0dc0\u0dda .<\/span>\r\n<ul>\r\n<li>x &gt; 5 \u0db1\u0db8\u0dca , -2x &lt; 10<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 5<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color\" style=\"color: #ff0000\">a ,b ,c \u0dc3\u0dc4 d \u03f5 \u211d , \u0dc3\u0db3\u0dc4\u0dcf a &gt; b \u0dc3\u0dc4 c &gt; d\u2261 a+c\u00a0 &gt; b+d<\/span>\r\n<ul>\r\n<li>5 + 4 &gt; 3 + 2\u00a0\u00a0\u00a0(5 &gt; 3, 4 &gt; 2), 9&gt;5<\/li>\r\n<li>6 + 7 &lt; 4 + 1\u00a0\u00a0\u00a0\u00a0(6 &gt; 3, 7 &gt; 3), 13&gt;5<\/li>\r\n<li>5 +(\u2013 1) &lt; 4 +(\u2013 7)\u00a0\u00a0\u00a0\u00a0\u00a0 [5 &gt; 4, (-1) &gt; (-7)], 4 &gt; -3<\/li>\r\n<\/ul>\r\n<\/li>\r\n<li>\u00a0<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 6<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-vivid-red-color\">(a, b \u0dc3\u0dc4 c) \u03f5 \u211d \u0dc3\u0db3\u0dc4\u0dcf a &gt; b , b &gt; c \u2192 a &gt; c<\/span>\r\n<ul>\r\n<li>x &gt; y , y &gt; 2\u00a0 \u0d91\u0db8 \u0db1\u0dd2\u0dc3\u0dcf \u00a0x &gt; 2<\/li>\r\n<\/ul>\r\n<\/li>\r\n<li>\u00a0<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 7<\/strong><\/h5>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{l}\\;a\\;&gt;\\;b\\;&gt;\\;c\\;\\rightarrow\\;\\;\\frac1a&lt;\\;\\frac1b\\\\\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{l}\\circ\\begin{array}{ccl}5&amp;&gt;&amp;3\\;\\rightarrow\\frac15&lt;\\frac13\\end{array}\\\\\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 8<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-vivid-red-color\">a ,b ,c \u0dc3\u0dc4 d \u03f5 \u211d \u0dc3\u0db3\u0dc4\u0dcf a &gt; b , c &gt; d \u2192 ac &gt; bd<\/span>\r\n<ul>\r\n<li>5 &gt; 3 , 4 &gt; 1\u00a0 \u2192 20 &gt; 3<\/li>\r\n<\/ul>\r\n<\/li>\r\n<li>\u00a0<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 9<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-vivid-red-color\">(a \u0dc3\u0dc4 b) \u03f5 \u211d, n \u03f5 \u2124 \u0dc3\u0db3\u0dc4\u0dcf a &gt; b \u2192 a<sup>n<\/sup>&gt; b<sup>n<\/sup><\/span>\r\n<ul>\r\n<li>n=2 \u0dbd\u0dd9\u0dc3 \u0d9c\u0db8\u0dd4,<br \/>4 &gt; 2 \u2192 4<sup>2<\/sup> &gt;2<sup>2<\/sup> \u2192 16 &gt; 4<\/li>\r\n<\/ul>\r\n<\/li>\r\n<li>\u00a0<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\"><strong>\u0db4\u0dca\u200d\u0dbb\u0db8\u0dda\u0dba\u0dba\u00a0 10<\/strong><\/h5>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>(a<sub>1<\/sub>, a<sub>2<\/sub>, a<sub>3<\/sub>, &#8230;.., a<sub>n<\/sub>)<img width=\"7\" height=\"28\" \/>\u03f5 \u211d \u0db1\u0db8\u0dca <em>\u0d91\u0db8<\/em> n <em>\u0dc4\u0dd2<\/em> ,<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}\\text{\u0dc3\u0db8\u0dcf\u0db1\u0dca\u0dad\u0dbb \u0db8\u0db0\u0dca\u200d\u0dba\u0db1\u0dca\u200d\u0dba }&amp;=&amp;\\left(\\frac{a_1+a_2+a_3+\\cdots+a_n}n\\right)\\;\\text{\u0dbd\u0dd9\u0dc3\u0daf},\\\\\\text{\u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0db8\u0db0\u0dca\u200d\u0dba\u0db1\u0dca\u200d\u0dba\u0dba}\\;\\;&amp;=&amp;\\sqrt[n]{a_1,a_2,a_3,\\;\\dots,\\;a_n}\\;\\text{\u0dbd\u0dd9\u0dc3 \u0daf \u0d85\u0dbb\u0dca\u0dae \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dd6 \u0dc0\u0dd2\u0da7},\\\\&amp;&amp;\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><span class=\"has-inline-color has-vivid-red-color\">\u0dc3\u0db8\u0dcf\u0db1\u0dca\u0dad\u0dbb \u0db8\u0db0\u0dca\u200d\u0dba\u0db1\u0dca\u200d\u0dba<em>\u0dba<\/em>\u00a0 \u2265 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0db8\u0db0\u0dca\u200d\u0dba\u0db1\u0dca\u200d\u0dba<em>\u0dba<\/em><\/span><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}\\text{\u22182,3,5 \u0dc4\u0dd2 \u0dc3\u0db8\u0dcf\u0db1\u0dca\u0dad\u0dbb \u0db8\u0db0\u0dca\u200d\u0dba\u0db1\u0dca\u200d\u0dba\u0dba =   }\\frac{\\text{(2+3+5)}}3\\text{=}\\frac{\\text{10}}3\\\\\\\\\\circ2,3,5\\;\\text{\u0dc4\u0dd2 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0db8\u0db0\u0dca\u200d\u0dba\u0db1\u0dca\u200d\u0dba\u0dba}\\;=\\sqrt[3]{(2\\times3\\times5)}\\;=\\sqrt[3]{30}\\;\\;\\;\\;\\;\\\\\\\\\\circ\\frac{10}3&gt;\\sqrt[3]{30}\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>\u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0d9a \u0db4\u0dca\u200d\u0dbb\u0dcf\u0db1\u0dca\u0dad\u0dbb\u0dba <\/strong><\/h2>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf 2 \u0d9a \u0dc0\u0dd2\u0dc1\u0dcf\u0dbd\u0dad\u0dca\u0dc0 \u0dc3\u0d82\u0dc3\u0db1\u0dca\u0daf\u0db1\u0dba \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dd3\u0db8\u0da7 &lt; ,\u00a0 &gt; ,\u00a0 = (\u0dc3\u0d82\u0d9b\u0dda\u0dad 3\u0db8 \u22db \u0dbd\u0dd9\u0dc3 \u0dc3\u0dcf\u0db8\u0dcf\u0db1\u0dba\u0dd9\u0db1\u0dca\u00a0 \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dda) \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dcf \u0d9a\u0dbb\u0dba\u0dd2\r\n<ul>\r\n<li>\u0d9a\u0dd4\u0da9\u0dcf\u00a0 &lt; \u00a0\u0dc0\u0dd2\u0dc1\u0dcf\u0dbd<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-2 wp-block-columns-is-layout-flex\">\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>x\/x\\in\\mathbb{R}\\;;\\;(3&lt;x&lt;8)<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11244\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-124.png\" alt=\"\" width=\"142\" height=\"13\" \/><\/figure>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>x\/x\\in\\mathbb{R}\\;;\\;(-4\\;\\leq\\;x&lt;6)<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11245\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-125.png\" alt=\"\" width=\"181\" height=\"18\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-125.png 181w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-125-150x15.png 150w\" sizes=\"(max-width: 181px) 100vw, 181px\" \/><\/figure>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>x\/x\\in\\mathbb{R}\\;;\\;(2\\;\\leq\\;x\\;&lt;\\;\\infty)<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11246\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-126.png\" alt=\"\" width=\"184\" height=\"13\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-126.png 184w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-126-150x11.png 150w\" sizes=\"(max-width: 184px) 100vw, 184px\" \/><\/figure>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-3 wp-block-columns-is-layout-flex\">\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>x\/x\\in\\mathbb{R}\\;;\\;(-\\infty\\;&lt;\\;x\\;&lt;-5)<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11248\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-128.png\" alt=\"\" width=\"207\" height=\"24\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-128.png 207w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-128-150x17.png 150w\" sizes=\"(max-width: 207px) 100vw, 207px\" \/><\/figure>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>x\/x\\in\\mathbb{R}\\;;\\;(-\\infty\\;&lt;\\;x\\;&lt;\\;3)\\;\\text{\u0dc4\u0ddd}\\;(8&lt;\\;x\\;&lt;\\infty)<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11249\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-129.png\" alt=\"\" width=\"319\" height=\"20\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-129.png 319w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-129-300x19.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-129-150x9.png 150w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><\/figure>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0dc3\u0dbb\u0dbd \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf<\/strong><\/h3>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>a, b \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0dc0\u0dd2\u0da7 ax + b \u22db 0 \u0dba\u0db1\u0dca\u0db1 \u0dc3\u0dbb\u0dbd \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0\u0d9a\u0dca \u0dbd\u0dd9\u0dc3 \u0dc4\u0dd0\u0db3\u0dd2\u0db1\u0dca\u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-4 wp-block-columns-is-layout-flex\">\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis: 33.33%\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}1.\\;3x\\;\u2013\\;1\\;&lt;11\\;\u0dba\u0db1\\;\\text{\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0dc0\u0dd2\u0dc3\u0db3\u0db1\u0dca\u0db1}\\;\\;\\;\\\\3x\\;\u2013\\;1&lt;11\\;\\\\3x\\;&lt;\\;12\\;\\\\x\\;\\;&lt;\\;4\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis: 66.66%\">\r\n<div class=\"wp-block-spacer\" style=\"height: 20px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"345\" height=\"23\" class=\"wp-image-11251\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-130.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-130.png 345w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-130-300x20.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-130-150x10.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-130-324x23.png 324w\" sizes=\"(max-width: 345px) 100vw, 345px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-5 wp-block-columns-is-layout-flex\">\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis: 33.33%\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}2.-5x+4\\;&amp;\\leq&amp;\\;2-x\\\\2\\;&amp;\\leq&amp;\\;4x\\\\4x\\;&amp;\\geq&amp;\\;2\\\\x\\;&amp;\\geq&amp;\\;0.5\\end{array}<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis: 66.66%\">\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"321\" height=\"30\" class=\"wp-image-11258\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-133.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-133.png 321w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-133-300x28.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-133-150x14.png 150w\" sizes=\"(max-width: 321px) 100vw, 321px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 20px\" aria-hidden=\"true\">\u00a0<\/div>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong><strong>\u0dc0\u0dbb\u0dca\u0d9c\u0da2\u00a0 \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0<\/strong><\/strong><\/h3>\r\n\r\n\r\n\r\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-6 wp-block-columns-is-layout-flex\">\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}E&amp;=&amp;(x+a)^2+b^2\\;;\\;b\\neq0\\xrightarrow{\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;}(A)\\end{array}<\/pre>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}E&amp;=&amp;(x+a)^2\\xrightarrow{\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;}(B)\\\\&amp;&amp;\\end{array}<\/pre>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}E&amp;=&amp;(x+a)^2-b^2\\xrightarrow{\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;}(C)\\\\&amp;&amp;\\\\E\\;&amp;=&amp;\\;(x+a-b)(x+a+b)\\;\\\\&amp;&amp;\\\\E\\;&amp;=&amp;\\;(x\\;-\\;\\alpha)(x\\;-\\;\\beta)\\;;\\alpha\\;\\neq\\;\\beta\\end{array}<\/pre>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\">E = x<sup>2<\/sup>+px+q \u0dc0\u0dbb\u0dca\u0d9c\u0da2 \u0dc1\u0dd2\u0dad\u0dba A \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0db4\u0dc0\u0dad\u0dd3 \u0db1\u0db8\u0dca,<\/h5>\r\n\r\n\r\n\r\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{l}E=(x+a)^2+b^2\\;\\text{\u0dc3\u0dd0\u0dbd\u0d9a\u0dd6\u0dc0\u0dd2\u0da7},\\\\(x+a)^2\\geq0\\;,b^2&gt;0\\;\\text{\u0dc3\u0dd2\u0dba\u0dbd\u0dd4 x \u0dc4\u0dd2 \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0d85\u0d9c\u0dba\u0db1\u0dca\u0da7},\\\\E=(x+a)^2+b^2&gt;0\\\\E=x^2+px+q&gt;0,\\;E&gt;0\\end{array}<\/pre>\r\n<\/div>\r\n<\/div>\r\n\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}(1).\\;x^2+3x+9&amp;\\geq&amp;0\\;\\text{\u0dc0\u0dd2\u0dc3\u0db3\u0db1\u0dca\u0db1}\\\\&amp;&amp;\\\\x^2+3x+9&amp;\\geq&amp;0\\\\&amp;&amp;\\\\\\left(x+\\frac32\\right)^2+9-\\frac94&amp;\\geq&amp;0\\\\&amp;&amp;\\\\\\left(x+\\frac32\\right)^2+\\frac{27}4&amp;\\geq&amp;0\\;\\text{\u0dc3\u0dd2\u0dba\u0dbd\u0dd4 x \u0dc4\u0dd2 \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0d85\u0d9c\u0dba\u0db1\u0dca\u0da7,}\\\\x&amp;\\in&amp;\\mathbb{R}\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column --><\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}\\mathrm{(2)}.1\u2013x-x^2&amp;&gt;&amp;0\\;\\text{\u0dc0\u0dd2\u0dc3\u0db3\u0db1\u0dca\u0db1}\\\\-1-x-x^2&amp;&gt;&amp;0\\\\x^2+x+1&amp;&gt;&amp;0\\\\\\left(x+\\frac12\\right)^2-\\frac14+1&amp;&lt;&amp;0\\\\\\left(x+\\frac12\\right)^2+\\frac34&amp;&lt;&amp;0\\;\\text{\u0dc0\u0dd2\u0dc3\u0db3\u0dd4\u0db8\u0dca \u0db1\u0ddc\u0db4\u0dc0\u0dad\u0dd3.}\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:heading {\"level\":5} --><\/p>\r\n<h5>E =x<sup>2<\/sup>+px+q \u0dc0\u0dbb\u0dca\u0d9c\u0da2 \u0dc1\u0dd2\u0dad\u0dba B \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0db4\u0dc0\u0dad\u0dd3 \u0db1\u0db8\u0dca,<\/h5>\r\n<p><!-- \/wp:heading --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{l}E=(x+a)^2\\text{\u0dc3\u0dd0\u0dbd\u0d9a\u0dd6 \u0dc0\u0dd2\u0da7},\\\\x\\;\\text{\u0dc4\u0dd2 \u0dc3\u0dd2\u0dba\u0dbd\u0dd4 \u0dad\u0dcf\u0dad\u0dca\u0dc0\u0dd2\u0d9a \u0d85\u0d9c\u0dba\u0db1\u0dca\u0da7},\\\\(x+a)^2\\geq0\\;\\text{\u0dc0\u0dda \u0db8\u0dd9\u0dc4\u0dd2 \u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0dbd\u0dd0\u0db6\u0dd9\u0db1\u0dca\u0db1\u0dda }x=-a\\;\\text{\u0dc0\u0dd2\u0da7\u0daf\u0dd3\u0dba}.\\\\\\text{\u0d91\u0db1\u0db8\u0dca }x=-a\\;\\text{\u0dc0\u0dd2\u0da7\u0daf\u0dd3 }x,0\\;\u0da7\\;\\text{\u0dc3\u0db8\u0dcf\u0db1 \u0dc0\u0dda\u0daf \u0d85\u0db1\u0dd9\u0d9a \u0dc3\u0dd2\u0dba\u0dbd\u0dd4 \u0d85\u0d9c\u0dba\u0db1\u0dca \u0dc0\u0dbd\u0daf\u0dd3 x \u0da7 \u0dc0\u0dd2\u0dc1\u0dcf\u0dbd \u0d85\u0d9c\u0dba\u0d9a\u0dca \u0dbd\u0dd0\u0db6\u0dda}.\\;E&gt;0\\;\\text{\u0dc0\u0dda}.\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}x^2-4x+4&amp;&gt;&amp;0\\;\\text{\u0dc0\u0dd2\u0dc3\u0db3\u0db1\u0dca\u0db1.}\\\\(x-2)^2-4+4&amp;&gt;&amp;0\\\\(x-2)^2&amp;&gt;&amp;0\\\\x&amp;=&amp;2\\;\\text{\u0dc0\u0dd2\u0da7 \u0daf\u0dd3 \u0dc4\u0dd0\u0dbb \u0d85\u0db1\u0dd9\u0d9a\u0dca \u0dc3\u0dd2\u0dba\u0dbd\u0dd4 \u0d85\u0d9c\u0dba\u0db1\u0da7 \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf\u0dc0 \u0db1\u0dd2\u0dc0\u0dd0\u0dbb\u0daf\u0dd2 \u0dc0\u0dda}.\\;\\\\x&amp;\\neq&amp;2,\\;x\\in R\\end{array}\r\n<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{cccc}x^2-8x+16&amp;&amp;&lt;&amp;\\text{0  \u0dc0\u0dd2\u0dc3\u0db3\u0db1\u0dca\u0db1 }\\\\(x+4)^2+16\u201316&amp;&amp;&lt;&amp;0\\\\(x+4)^2&amp;&amp;&lt;&amp;0\\;\\text{\u0dc0\u0dd2\u0dc3\u0db3\u0dd4\u0db8\u0dca \u0db1\u0ddc\u0db4\u0dc0\u0dad\u0dd3}\\;\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:heading {\"level\":5} --><\/p>\r\n<h5>E =x<sup>2<\/sup>+px+q \u0dc0\u0dbb\u0dca\u0d9c\u0da2 \u0dc1\u0dd2\u0dad\u0dba C \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0db4\u0dc0\u0dad\u0dd3 \u0db1\u0db8\u0dca,<\/h5>\r\n<p><!-- \/wp:heading --><\/p>\r\n<p><!-- wp:list --><\/p>\r\n<ul>\r\n<li>E = (x+a)<sup>2<\/sup>&#8211; b<sup>2<\/sup><\/li>\r\n<li>E = (x &#8211; \u03b1)(x &#8211; \u03b2),\u00a0 \u03b1 &lt; \u03b2<\/li>\r\n<\/ul>\r\n<p><!-- \/wp:list --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11445,\"sizeSlug\":\"large\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"447\" height=\"100\" class=\"wp-image-11445\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-142.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-142.png 447w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-142-300x67.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-142-150x34.png 150w\" sizes=\"(max-width: 447px) 100vw, 447px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:list --><\/p>\r\n<ul>\r\n<li>x = \u03b1 \u0dc0\u0dd2\u0da7 \u0daf\u0dd3 \u0dc3\u0dc4 x = \u03b2 \u0dc0\u0dd2\u0da7\u0daf\u0dd3 E = 0 \u0dc0\u0dda.<\/li>\r\n<li>\u03b1, \u03b2 E \u0dc4\u0dd2 \u0dc1\u0dd6\u0db1\u0dca\u200d\u0dba \u0dbd\u0d9a\u0dca\u0dc2 \u0dbd\u0dd9\u0dc3 \u0dc4\u0dd0\u0db3\u0dd2\u0db1\u0dca\u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n<p><!-- \/wp:list --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>{x&lt;\\;\\alpha,\\beta\\;\\text{\u0db1\u0db8\u0dca,}}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}\\text{x \u2013 \u03b1 \u0dc4\u0dcf x - \u03b2 \u0d8d\u0dab\u0dba\u0dd2 }\\\\\\text{E = (x - \u03b1)(x - \u03b2)  &gt; 0 }\\\\\\text{\u0d91\u0db1\u0db8\u0dca E \u0db0\u0db1 \u0dc0\u0dda}\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column --><\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>{\\alpha&lt;x\\operatorname{&lt; }\\beta\\;\\text{\u0db1\u0db8\u0dca,}}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}\\text{x \u2013 \u03b1  \u0db0\u0db1\u0dba\u0dd2 , x - \u03b2 \u0d8d\u0dab\u0dba\u0dd2}\\\\\\text{E = (x - \u03b1)(x - \u03b2)  &lt; 0 }\\\\\\text{\u0d91\u0db1\u0db8\u0dca E \u0d8d\u0dab\u0dba\u0dd2 \u0dc0\u0dda}\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column --><\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>{\\text{x &gt; \u03b1 , \u03b2}}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}\\text{x \u2013 \u03b1  \u0db0\u0db1\u0dba\u0dd2, x \u2013 \u03b2  \u0db0\u0db1\u0dba\u0dd2}\\\\\\text{E = (x - \u03b1)(x - \u03b2)  &gt; 0}\\\\\\text{\u0d91\u0db1\u0db8\u0dca E \u0db0\u0db1 \u0dc0\u0dda}\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:paragraph --><\/p>\r\n<p><strong>\u0d8b\u0daf\u0dcf :-<\/strong><\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}x^2-4x-1&lt;0\\\\(x-2)^2-1\u20134&lt;0\\\\(x-2)^2-5&lt;0\\\\(x\u20132-\\sqrt5)(x\u20132+\\sqrt5)&lt;0\\\\E=(x\u20132-\\sqrt5)(x\u20132+\\sqrt5)\\;\\text{\u0dbd\u0dd9\u0dc3\u0d9c\u0db8\u0dd4}\\\\x=(2-\\sqrt5),x=(2+\\sqrt5)\\;\\text{\u0dc0\u0dd2\u0da7 }E=0\\\\\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}\\\\\\therefore\\left\\{x\/x\\in\\mathbb{R};(2-\\sqrt5)&lt;x&lt;(2+\\sqrt5)\\right\\}\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:heading {\"level\":3} --><\/p>\r\n<h3><strong>\u0db4\u0dbb\u0dd2\u0db8\u0dda\u0dba \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf <\/strong><\/h3>\r\n<p><!-- \/wp:heading --><\/p>\r\n<p><!-- wp:list --><\/p>\r\n<ul>\r\n<li><strong>P<sub>(x)<\/sub>, Q<sub>(x)<\/sub> x \u0dc4\u0dd2 \u0db6\u0dc4\u0dd4 \u0db4\u0daf \u0dc0\u0db1 \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dda P<sub>(x)<\/sub>, Q<sub>(x)<\/sub> \u00a0\u0db4\u0dbb\u0dd2\u0db8\u0dda\u0dba \u0dc1\u0dd2\u0dad \u0d87\u0dad\u0dd4\u0dc5\u0dad\u0dca \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0db4\u0dbb\u0dd2\u0db8\u0dda\u0dba \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dbd\u0dd9\u0dc3 \u0dc4\u0db3\u0dd4\u0db1\u0dca\u0dc0\u0dba\u0dd2.<\/strong><\/li>\r\n<\/ul>\r\n<p><!-- \/wp:list --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column {\"width\":\"33.33%\"} -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\" style=\"flex-basis: 33.33%\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}\\;\\frac{(3-2x)}3\\;&amp;\\leq&amp;\\frac{(x-1)}2\\;\\\\6\\;\u2013\\;4x\\;&amp;\\leq&amp;\\;3x\\;-3\\\\7x&amp;\\geq&amp;\\;9\\;\\\\x&amp;\\geq&amp;\\;\\frac97\\;\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column {\"width\":\"66.66%\"} --><\/p>\r\n<div class=\"wp-block-column\" style=\"flex-basis: 66.66%\"><!-- wp:image {\"align\":\"center\",\"id\":11452,\"sizeSlug\":\"large\"} -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"33\" class=\"wp-image-11452\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-144.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-144.png 335w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-144-300x30.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-144-150x15.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-144-324x33.png 324w\" sizes=\"(max-width: 335px) 100vw, 335px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}\\therefore x\/x&amp;\\in&amp;\\mathbb{R}\\left(-\\infty&lt;x\\leq\\frac97\\right)\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:paragraph --><\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column {\"width\":\"33.33%\"} -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\" style=\"flex-basis: 33.33%\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}\\frac{(3x-1)}{(-2)}&amp;&lt;&amp;x-1\\\\5x&amp;&gt;&amp;3\\;\\;\\\\x&amp;&gt;&amp;\\frac35\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column {\"width\":\"66.66%\"} --><\/p>\r\n<div class=\"wp-block-column\" style=\"flex-basis: 66.66%\"><!-- wp:image {\"align\":\"center\",\"id\":11456,\"sizeSlug\":\"large\"} -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"333\" height=\"34\" class=\"wp-image-11456\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-146.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-146.png 333w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-146-300x31.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-146-150x15.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-146-324x34.png 324w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}&amp;&amp;\\therefore\\left\\{x\/x\\in\\mathbb{R};\\left(\\frac35&lt;x&lt;\\infty\\right)\\right\\}\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:list --><\/p>\r\n<ul>\r\n<li>\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf 2\u0d9a\u0dca \u0d87\u0dad\u0dd2 \u0d85\u0dc0\u0dc3\u0dca\u0dae\u0dcf\u0dc0\u0dbd \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf 2 \u0dc0\u0dd9\u0db1 \u0dc0\u0dd9\u0db1\u0db8 \u0dc3\u0dbd\u0d9a\u0dcf \u0dc0\u0dd2\u0dc3\u0db3\u0dd2\u0dba \u0dba\u0dd4\u0dad\u0dd4\u0dba.<\/li>\r\n<\/ul>\r\n<p><!-- \/wp:list --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}-1&amp;&lt;&amp;\\frac{(2x+1)}3\\leq2\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}-1\\;&amp;&lt;&amp;\\;\\frac{\\;(2x+1)}3\\\\2x+1\\;&amp;&gt;&amp;-3\\\\x&amp;&gt;&amp;-2\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11457,\"sizeSlug\":\"full\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"244\" height=\"18\" class=\"wp-image-11457\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-147.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-147.png 244w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-147-150x11.png 150w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:paragraph {\"align\":\"center\"} --><\/p>\r\n<p class=\"has-text-align-center\">A<\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column --><\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}\\frac{(2x+1)}2&amp;\\leq&amp;2\\\\2x+1&amp;\\leq&amp;6\\\\x&amp;\\leq&amp;\\frac52\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11459,\"sizeSlug\":\"full\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"259\" height=\"26\" class=\"wp-image-11459\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-149.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-149.png 259w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-149-150x15.png 150w\" sizes=\"(max-width: 259px) 100vw, 259px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:paragraph {\"align\":\"center\"} --><\/p>\r\n<p class=\"has-text-align-center\">B<\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:paragraph {\"align\":\"center\"} --><\/p>\r\n<p class=\"has-text-align-center\">\u0d85\u0daf\u0dcf\u0dc5 \u0db4\u0dbb\u0dcf\u0dc3\u0dba (A\u2229B) \u0db8\u0d9f\u0dd2\u0db1\u0dca \u0dbd\u0dd0\u0db6\u0dda<\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11461,\"sizeSlug\":\"full\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"275\" height=\"28\" class=\"wp-image-11461\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-151.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-151.png 275w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-151-150x15.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-151-265x28.png 265w\" sizes=\"(max-width: 275px) 100vw, 275px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\therefore\\left\\{x\/x\\in\\mathbb{R};\\left(-2&lt;x\\leq\\frac52\\right)\\right\\}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:katex\/display-block --><\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>5\\;&lt;\\frac{(3-x)}2&lt;\\;1<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}5\\;&amp;&lt;&amp;\\frac{(3-x)}2\\\\x&amp;&lt;&amp;-7\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11646,\"sizeSlug\":\"full\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"204\" height=\"23\" class=\"wp-image-11646\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-152.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-152.png 204w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-152-150x17.png 150w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:paragraph {\"align\":\"center\"} --><\/p>\r\n<p class=\"has-text-align-center\">A<\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column --><\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{rcl}\\frac{(3-x)}2&amp;&lt;&amp;\\;1\\\\x\\;&amp;&gt;&amp;\\;1\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11648,\"sizeSlug\":\"full\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"253\" height=\"23\" class=\"wp-image-11648\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-154.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-154.png 253w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-154-150x14.png 150w\" sizes=\"(max-width: 253px) 100vw, 253px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:paragraph {\"align\":\"center\"} --><\/p>\r\n<p class=\"has-text-align-center\">B<\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:paragraph {\"align\":\"center\"} --><\/p>\r\n<p class=\"has-text-align-center\">\u0d85\u0daf\u0dcf\u0dc5 \u0db4\u0dbb\u0dcf\u0dc3\u0dba (A\u2229B) \u0db8\u0d9f\u0dd2\u0db1\u0dca \u0dbd\u0dd0\u0db6\u0dda<\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11651,\"sizeSlug\":\"full\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"25\" class=\"wp-image-11651\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-156.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-156.png 354w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-156-300x21.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-156-150x11.png 150w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:paragraph {\"align\":\"left\"} --><\/p>\r\n<p class=\"has-text-align-left\"><span class=\"has-inline-color has-vivid-red-color\">\u0db8\u0dd9\u0dc4\u0dd2 \u0db4\u0ddc\u0daf\u0dd4 \u0db4\u0dd9\u0daf\u0dd9\u0dc3\u0d9a\u0dca \u0db1\u0ddc\u0dbd\u0dd0\u0db6\u0dda. \u0d9a\u0dd2\u0dc3\u0dd2\u0daf\u0dd4 x \u0d85\u0d9c\u0dba\u0d9a\u0dca \u0db8\u0dd9\u0dba \u0dad\u0dd8\u0db4\u0dca\u0dad \u0db1\u0ddc\u0d9a\u0dbb\u0dba\u0dd2.\u00a0 \u0d85\u0d9c\u0dba \u0db4\u0dbb\u0dcf\u0dc3\u0dba\u0d9a\u0dca \u0db1\u0ddc\u0db4\u0dc0\u0dad\u0dd3.<\/span><\/p>\r\n<p><!-- \/wp:paragraph --><\/p>\r\n<p><!-- wp:heading {\"level\":3} --><\/p>\r\n<h3><strong>\u0db4\u0dca\u200d\u0dbb\u0dc3\u0dca\u0dae\u0dcf\u0dbb \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dd9\u0db1\u0dca \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab \u0dc0\u0dd2\u0dc3\u0db3\u0dd2\u0db8 <\/strong><\/h3>\r\n<p><!-- \/wp:heading --><\/p>\r\n<p><!-- wp:image {\"align\":\"center\",\"id\":11663,\"sizeSlug\":\"large\"} --><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"649\" height=\"313\" class=\"wp-image-11663\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-161.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-161.png 649w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-161-300x145.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-161-150x72.png 150w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<p><!-- wp:list --><\/p>\r\n<ul>\r\n<li>x =a, x=b, x = c \u0dc3\u0dc4 x = d \u0dc0\u0dd2\u0da7 \u0da1\u0dda\u0daf\u0db1\u0dba\u0dc0\u0dda \u0d91\u0db1\u0db8\u0dca x \u0dc4\u0dd2 \u0d91\u0db8 \u0d85\u0d9c\u0dba\u0db1\u0dca \u0dc0\u0dbd\u0daf\u0dd3 f<sub>(x)<\/sub> = g<sub>(x)<\/sub> \u0dc0\u0dda<\/li>\r\n<\/ul>\r\n<p><!-- \/wp:list --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}2x-3\\;&gt;\\;x+1\\;\\\\y=2x-3,\\;y=x+1\\;\\\\A\\;\\text{\u0dc4\u0dd2\u0daf\u0dd3},\\\\x+1=2x-3\\\\x=4\\;\\\\2x-3\\;&gt;\\;x+1\\;\\text{\u0dc0\u0dd3\u0db8 \u0dc3\u0db3\u0dc4\u0dcf},\\;\\;\\\\x&gt;4\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column --><\/p>\r\n<div class=\"wp-block-column\"><!-- wp:image {\"align\":\"center\",\"id\":11666,\"sizeSlug\":\"large\"} -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"425\" height=\"276\" class=\"wp-image-11666\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-163.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-163.png 425w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-163-300x195.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-163-150x97.png 150w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:columns --><\/p>\r\n<div class=\"wp-block-columns\"><!-- wp:column -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-column\"><!-- wp:katex\/display-block -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>\\begin{array}{c}x^2-x-2\\leq0\\\\x^2\\leq x+2\\\\y=x^2,y=x+2\\\\A\\text{\u0dc4\u0dcf }B\\;\\text{\u0dc4\u0dd3\u0daf\u0dd3},\\\\x^2=x-2\\\\x^2-x-2=0\\\\(x-2)(x+1)=0\\\\x=-1\\text{\u0dc4\u0ddd }x=2\\\\x^2\\leq x+2\\\\-1\\leq x\\leq2\\end{array}<\/pre>\r\n<\/div>\r\n<p><!-- \/wp:katex\/display-block --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<p><!-- wp:column --><\/p>\r\n<div class=\"wp-block-column\"><!-- wp:image {\"align\":\"center\",\"id\":11670,\"sizeSlug\":\"large\"} -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"259\" class=\"wp-image-11670\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-165.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-165.png 352w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-165-300x221.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-165-150x110.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/02\/image-165-80x60.png 80w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><\/figure>\r\n<\/div>\r\n<p><!-- \/wp:image --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:column --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:columns --><\/p>\r\n<p><!-- wp:epyt\/youtube {\"shortcode\":\"[embedyt] https:\/\/www.youtube.com\/watch?v=JgJRzqT55JE[\/embedyt]\"} --><br \/><div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_22559\"  width=\"696\" height=\"392\"  data-origwidth=\"696\" data-origheight=\"392\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/JgJRzqT55JE?enablejsapi=1&autoplay=0&cc_load_policy=0&cc_lang_pref=&iv_load_policy=1&loop=0&rel=0&fs=1&playsinline=0&autohide=2&theme=dark&color=red&controls=1&\" class=\"__youtube_prefs__  no-lazyload\" title=\"YouTube player\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div><br \/><!-- \/wp:epyt\/youtube --><\/p>\r\n<p><!-- wp:buttons {\"contentJustification\":\"center\"} --><\/p>\r\n<div class=\"wp-block-buttons is-content-justification-center\"><!-- wp:button {\"borderRadius\":15,\"className\":\"is-style-shadow\",\"tdButtonSize\":\"normal\"} -->\r\n<p>&nbsp;<\/p>\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1fMG2zZQ2m0jiTXexO7p8NrUJWlS80LZG\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n<div class=\"wp-block-buttons is-content-justification-center\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/drive\/folders\/1yn8ixbkxG62kXS8aUeSHnxbK8yvV0Jcb?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">\u0dad\u0dc0\u0dad\u0dca \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<p><!-- \/wp:button --><\/p>\r\n<\/div>\r\n<p><!-- \/wp:buttons --><\/p>\r\n<p><!-- wp:spacer --><\/p>\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n<p><!-- \/wp:spacer --><\/p>\r\n<p><!-- wp:paragraph --><\/p>\r\n<p><!-- \/wp:paragraph --><\/p>","protected":false},"excerpt":{"rendered":"<p>\u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0d85\u0dbb\u0dca\u0dae \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dd3\u0db8, \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0db4\u0dd2\u0dc5\u0dd2\u0db6\u0daf \u0db8\u0dd6\u0dbd\u0dd2\u0d9a \u0db4\u0dca\u200d\u0dbb\u0dad\u0dd2\u0db5\u0dbd \u0db4\u0dca\u200d\u0dbb\u0d9a\u0dcf\u0dc1 \u0d9a\u0dbb \u0dc3\u0dcf\u0db0\u0db1\u0dba \u0d9a\u0dd2\u0dbb\u0dd3\u0db8, \u0d92\u0d9a\u0da2, \u0dc0\u0dbb\u0dca\u0d9c\u0da2 \u0dc4\u0dcf \u0db4\u0dbb\u0dd2\u0db8\u0dda\u0dba \u0dc1\u0dca\u200d\u0dbb\u0dd2\u0dad \u0d87\u0dad\u0dd4\u0dc5\u0dad\u0dca \u0d85\u0dc3\u0db8\u0dcf\u0db1\u0dad\u0dcf \u0dc0\u0dd3\u0da2\u0dd3\u0dba\u0dc0 \u0dc4\u0dcf \u0db4\u0dca\u200d\u0dbb\u0dc3\u0dca\u0dad\u0dcf\u0dbb\u0dd2\u0d9a\u0dc0 \u0dc0\u0dd2\u0dc3\u0daf\u0dd3\u0db8 \u0dc3\u0dd2\u0daf\u0dd4 \u0d9a\u0dbb\u0dba\u0dd2. <\/p>\n","protected":false},"author":13,"featured_media":16553,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3653,3633,42,3630,3629],"tags":[495,3720,3785,546,4272,4270,652,3787,3788,3761,3790,4277,3791,4278,3760,3759,3786,3778,4275,4271,4274,3792,3794,3795,3781,3789,552,4282,3797,4281,4273,4283,4276,4268,4269,4279,3849,4280,3793,3796,3776,3722],"class_list":{"0":"post-11235","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-02-03-inequilities","8":"category-02-algebra","9":"category-advanced-level-science","10":"category-pure-mathematics","11":"category-combined-mathematics","12":"tag-a-l","13":"tag-a-l-maths","14":"tag-a-l-mathz","15":"tag-a-l-science","16":"tag-alegebraic-inequlities","17":"tag-asamanatha","18":"tag-beta","19":"tag-c-maths","20":"tag-combined-mathematics","21":"tag-combined-maths","22":"tag-ganithya","23":"tag-inequalities","24":"tag-learnsteer","25":"tag-mapanka","26":"tag-mathematics","27":"tag-maths","28":"tag-mathz","29":"tag-number-lines","30":"tag-parameeya-asamanatha","31":"tag-parameya","32":"tag-pranthara","33":"tag-pure","34":"tag-pure-mathematics","35":"tag-pure-maths","36":"tag-sankya-reka","37":"tag-sanyuktha","38":"tag-sasnaka","39":"tag-shritha","40":"tag-shudda-ganithaya","41":"tag-s-2","42":"tag-wargaja-asamanathaa","43":"tag-4283","44":"tag-4276","45":"tag-4268","46":"tag-4269","47":"tag-4279","48":"tag-3849","49":"tag-4280","50":"tag-3793","51":"tag-3796","52":"tag-3776","53":"tag-3722"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/11235"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=11235"}],"version-history":[{"count":30,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/11235\/revisions"}],"predecessor-version":[{"id":38480,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/11235\/revisions\/38480"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media\/16553"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media?parent=11235"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=11235"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=11235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}