{"id":752459,"date":"2025-01-09T10:38:46","date_gmt":"2025-01-09T05:08:46","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=752459"},"modified":"2025-01-09T10:38:46","modified_gmt":"2025-01-09T05:08:46","slug":"class-11-maths-chapter-6-linear-inequalities-mcqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/linear-inequalities\/","title":{"rendered":"Class 11 Maths Chapter 6 Linear Inequalities MCQs"},"content":{"rendered":"<p><strong><a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/class-9-maths\/\">Class 11 Maths mcqs<\/a> <\/strong>Chapter 6, Linear Inequalities, includes MCQs to help students prepare for their exams. These <strong><a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/\">MCQs<\/a><\/strong> come with correct answers and detailed explanations. They are based on the latest <strong><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-syllabus\/\">CBSE  syllabus<\/a><\/strong> and cover all key topics from Chapter 6 of Class 11 Maths.<\/p>\n<p>Students can solve the multiple-choice questions for Chapter 6, Linear Inequalities, and check their answers using the provided solutions.<\/p>\n<h2>MCQs for Class 11 Maths Chapter 6 Linear Inequalities with Answers<\/h2>\n<p>Which of the following is a linear inequality in one variable?<\/p>\n<ul>\n<li>a) \\(x^2 + 2x &gt; 5\\)<\/li>\n<li>b) \\(x &#8211; 3 \\leq 7\\)<\/li>\n<li>c) \\(y^2 &#8211; y + 1 \\geq 0\\)<\/li>\n<li>d) \\(x^2 &#8211; 4x + 4 &lt; 0\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x &#8211; 3 \\leq 7\\)<\/p>\n<ul>\n<li>The solution of \\(3x &#8211; 5 &lt; 7\\) is:\n<ul>\n<li>a) \\(x &gt; 4\\)<\/li>\n<li>b) \\(x &lt; 4\\)<\/li>\n<li>c) \\(x \\geq 4\\)<\/li>\n<li>d) \\(x \\leq 4\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x &lt; 4\\)<\/li>\n<li>The inequality \\(x + 4 &gt; 2x &#8211; 1\\) simplifies to:\n<ul>\n<li>a) \\(x &lt; 5\\)<\/li>\n<li>b) \\(x &gt; 5\\)<\/li>\n<li>c) \\(x = 5\\)<\/li>\n<li>d) \\(x \\leq 5\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x &gt; 5\\)<\/li>\n<li>Which of the following is a solution for \\(2x + 3 &lt; 9\\)?\n<ul>\n<li>a) \\(x = 4\\)<\/li>\n<li>b) \\(x = 3\\)<\/li>\n<li>c) \\(x = 2\\)<\/li>\n<li>d) \\(x = 6\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> c) \\(x = 2\\)<\/li>\n<li>The graph of the inequality \\(x \\leq 3\\) is represented by:\n<ul>\n<li>a) A line passing through \\(x = 3\\) with the region shaded to the right<\/li>\n<li>b) A line passing through \\(x = 3\\) with the region shaded to the left<\/li>\n<li>c) A dotted line through \\(x = 3\\)<\/li>\n<li>d) A parabola<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) A line passing through \\(x = 3\\) with the region shaded to the left<\/li>\n<li>If \\(4x &#8211; 7 \\geq 5\\), then \\(x\\) lies in the interval:\n<ul>\n<li>a) \\([3, \\infty)\\)<\/li>\n<li>b) \\((-\\infty, 3]\\)<\/li>\n<li>c) \\((-\\infty, 3)\\)<\/li>\n<li>d) \\([3, 7]\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \\([3, \\infty)\\)<\/li>\n<li>The inequality \\(-2x + 3 &gt; 7\\) simplifies to:\n<ul>\n<li>a) \\(x &gt; -2\\)<\/li>\n<li>b) \\(x &lt; -2\\)<\/li>\n<li>c) \\(x = -2\\)<\/li>\n<li>d) \\(x \\geq -2\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x &lt; -2\\)<\/li>\n<li>Which of the following values satisfies \\(x + 2 \\leq 5\\)?\n<ul>\n<li>a) \\(x = 4\\)<\/li>\n<li>b) \\(x = 2\\)<\/li>\n<li>c) \\(x = 3\\)<\/li>\n<li>d) \\(x = 6\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x = 2\\)<\/li>\n<li>For \\(3x &#8211; 2 \\leq 4\\), the value of \\(x\\) is:\n<ul>\n<li>a) \\(x \\geq 2\\)<\/li>\n<li>b) \\(x \\leq 2\\)<\/li>\n<li>c) \\(x &lt; 2\\)<\/li>\n<li>d) \\(x &gt; 2\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x \\leq 2\\)<\/li>\n<li>The inequality \\(x &#8211; 2 &gt; 0\\) is satisfied when:\n<ul>\n<li>a) \\(x &gt; 2\\)<\/li>\n<li>b) \\(x &lt; 2\\)<\/li>\n<li>c) \\(x \\geq 2\\)<\/li>\n<li>d) \\(x \\leq 2\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \\(x &gt; 2\\)<\/li>\n<li>The solution of \\(2x + 5 \\leq 3x &#8211; 2\\) is:\n<ul>\n<li>a) \\(x \\geq 7\\)<\/li>\n<li>b) \\(x \\leq 7\\)<\/li>\n<li>c) \\(x &lt; 7\\)<\/li>\n<li>d) \\(x &gt; 7\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x \\leq 7\\)<\/li>\n<li>Which of the following is not a solution of \\(x &#8211; 4 &gt; 0\\)?\n<ul>\n<li>a) \\(x = 5\\)<\/li>\n<li>b) \\(x = 4\\)<\/li>\n<li>c) \\(x = 6\\)<\/li>\n<li>d) \\(x = 7\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x = 4\\)<\/li>\n<li>For \\(-3x + 4 \\leq 7\\), the solution is:\n<ul>\n<li>a) \\(x \\leq -1\\)<\/li>\n<li>b) \\(x \\geq -1\\)<\/li>\n<li>c) \\(x &lt; -1\\)<\/li>\n<li>d) \\(x &gt; -1\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \\(x \\leq -1\\)<\/li>\n<li>The inequality \\(5x &#8211; 7 &gt; 3\\) is equivalent to:\n<ul>\n<li>a) \\(x &gt; 2\\)<\/li>\n<li>b) \\(x &lt; 2\\)<\/li>\n<li>c) \\(x \\geq 2\\)<\/li>\n<li>d) \\(x \\leq 2\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \\(x &gt; 2\\)<\/li>\n<li>If \\(2x + 3 &lt; 5x + 6\\), then \\(x\\):\n<ul>\n<li>a) \\(x &gt; -1\\)<\/li>\n<li>b) \\(x &lt; -1\\)<\/li>\n<li>c) \\(x = -1\\)<\/li>\n<li>d) \\(x \\geq -1\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \\(x &gt; -1\\)<\/li>\n<li>Which of the following represents \\(x \\geq 0\\)?\n<ul>\n<li>a) Positive values only<\/li>\n<li>b) Non-negative values<\/li>\n<li>c) Negative values only<\/li>\n<li>d) Zero only<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) Non-negative values<\/li>\n<li>The inequality \\(3x \\leq 15\\) is satisfied when:\n<ul>\n<li>a) \\(x \\geq 5\\)<\/li>\n<li>b) \\(x \\leq 5\\)<\/li>\n<li>c) \\(x &gt; 5\\)<\/li>\n<li>d) \\(x &lt; 5\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x \\leq 5\\)<\/li>\n<li>If \\(-4x + 1 \\geq 9\\), then \\(x\\):\n<ul>\n<li>a) \\(x \\leq -2\\)<\/li>\n<li>b) \\(x \\geq -2\\)<\/li>\n<li>c) \\(x = -2\\)<\/li>\n<li>d) \\(x &lt; -2\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \\(x \\leq -2\\)<\/li>\n<li>Which of the following is a compound inequality?\n<ul>\n<li>a) \\(x &#8211; 2 &gt; 3\\)<\/li>\n<li>b) \\(x + 3 &lt; 5\\) and \\(x &#8211; 2 &gt; 1\\)<\/li>\n<li>c) \\(x^2 &#8211; x &lt; 1\\)<\/li>\n<li>d) \\(x &#8211; 3 \\geq 4\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> b) \\(x + 3 &lt; 5\\) and \\(x &#8211; 2 &gt; 1\\)<\/li>\n<li>If \\(x + y &gt; 5\\) and \\(x &#8211; y &lt; 3\\), what is the inequality for \\(x\\)?\n<ul>\n<li>a) \\(x &gt; 4\\)<\/li>\n<li>b) \\(x &lt; 4\\)<\/li>\n<li>c) \\(x = 4\\)<\/li>\n<li>d) \\(x \\geq 4\\)<\/li>\n<\/ul>\n<p><strong>Answer:<\/strong> a) \\(x &gt; 4\\)<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Class 11 Maths mcqs Chapter 6, Linear Inequalities, includes MCQs to help students prepare for their exams. These MCQs come [&hellip;]<\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 11 Maths MCQ","_yoast_wpseo_title":"Class 11 Maths MCQ \u2013 Linear Inequalities - Infinity Learn","_yoast_wpseo_metadesc":"Linear Inequalities are a form of inequality that is used to express a linear function. It is a form of algebraic expression that compares polynomials of degree 1.","custom_permalink":"mcqs\/class-11-maths\/linear-inequalities\/"},"categories":[11038],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Class 11 Maths MCQ \u2013 Linear Inequalities - Infinity Learn<\/title>\n<meta name=\"description\" content=\"Linear Inequalities are a form of inequality that is used to express a linear function. 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