{"id":31816,"date":"2018-10-08T10:53:17","date_gmt":"2018-10-08T10:53:17","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=31816"},"modified":"2020-11-25T12:55:34","modified_gmt":"2020-11-25T07:25:34","slug":"ml-aggarwal-class-10-solutions-for-icse-maths-chapter-5-chapter-test","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-5-chapter-test\/","title":{"rendered":"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test"},"content":{"rendered":"

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test<\/h2>\n

These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths<\/a>. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test.<\/p>\n

ML Aggarwal Solutions<\/a>ICSE Solutions<\/a>Selina ICSE Solutions<\/a><\/p>\n

Question 1.<\/strong><\/span>
\nSolve the inequation : 5x – 2 \u2264 3(3 – x) where x \u2208 { – 2, – 1, 0, 1, 2, 3, 4}. Also represent its solution on the number line.<\/strong>
\nSolution:<\/strong><\/span>
\n5x – 2 < 3(3 – x)
\n=> 5x – 2 \u2264 9 – 3x
\n=> 5x + 3x \u2264 9 + 2
\n\"ML<\/p>\n

Question 2.<\/strong><\/span>
\nSolve the inequations :<\/strong>
\n6x – 5 < 3x + 4, x \u2208 I.<\/strong>
\nSolution:<\/strong><\/span>
\n6x – 5 < 3x + 4
\n6x – 3x < 4 + 5
\n=> 3x <9
\n=> x < 3
\nx\u2208I
\nSolution Set = { – 1, – 2, 2, 1, 0….. }<\/p>\n

Question 3.<\/strong><\/span>
\nFind the solution set of the inequation<\/strong>
\nx + 5 < 2 x + 3 ; x \u2208 R<\/strong>
\nGraph the solution set on the number line.<\/strong>
\nSolution:<\/strong><\/span>
\nx + 5 \u2264 2x + 3
\nx – 2 x \u2264 3 – 5
\n=> – x \u2264 – 2
\n=> x \u2265 2
\n\"ML<\/p>\n

Question 4.<\/strong><\/span>
\nIf x \u2208 R (real numbers) and – 1 < 3 – 2x \u2264 7, find solution set and represent it on a number line.<\/strong>
\nSolution:<\/strong><\/span>
\n– 1 < 3 – 2x \u2264 7
\n– 1 < 3 – 2x and 3 – 2x \u2264 7
\n2 x < 3 + 1 and – 2x \u2264 7 – 3
\n2 x < 4 and – 2 x \u2264 4
\nx < 2 and – x \u2264 2
\nand x \u2265 – 2 or – 2 \u2264 x
\nx\u2208R
\nSolution set – 2 \u2264 x < 2
\nSolution set on number line
\n\"ML<\/p>\n

Question 5.<\/strong><\/span>
\nSolve the inequation :<\/strong>
\n\\(\\frac { 5x+1 }{ 7 } -4\\left( \\frac { x }{ 7 } +\\frac { 2 }{ 5 } \\right) \\le 1\\frac { 3 }{ 5 } +\\frac { 3x-1 }{ 7 } ,x\\in R\\)<\/strong>
\nSolution:<\/strong><\/span>
\n\\(\\frac { 5x+1 }{ 7 } -4\\left( \\frac { x }{ 7 } +\\frac { 2 }{ 5 } \\right) \\le 1\\frac { 3 }{ 5 } +\\frac { 3x-1 }{ 7 } \\)
\n\\(\\frac { 5x+1 }{ 7 } -4\\left( \\frac { x }{ 7 } +\\frac { 2 }{ 5 } \\right) \\le \\frac { 8 }{ 5 } +\\frac { 3x-1 }{ 7 } \\)
\n\"ML<\/p>\n

Question 6.<\/strong><\/span>
\nFind the range of values of a, which satisfy 7 \u2264 – 4x + 2 < 12, x \u2208 R. Graph these values of a on the real number line.<\/strong>
\nSolution:<\/strong><\/span>
\n7 < – 4x + 2 < 12
\n7 < – 4x + 2 and – 4x + 2 < 12
\n\"ML<\/p>\n

Question 7.<\/strong><\/span>
\nIf x\u2208R, solve \\(2x-3\\ge x+\\frac { 1-x }{ 3 } >\\frac { 2 }{ 5 } x\\)<\/strong>
\nSolution:<\/strong><\/span>
\n\\(2x-3\\ge x+\\frac { 1-x }{ 3 } >\\frac { 2 }{ 5 } x\\)
\n\\(2x-3\\ge x+\\frac { 1-x }{ 3 } \\) and \\(x+\\frac { 1-x }{ 3 } >\\frac { 2 }{ 5 } x\\)
\n\"ML<\/p>\n

Question 8.<\/strong><\/span>
\nFind positive integers which are such that if 6 is subtracted from five times the integer then the resulting number cannot be greater than four times the integer.<\/strong>
\nSolution:<\/strong><\/span>
\nLet the positive integer = x
\nAccording to the problem,
\n5a – 6 < 4x
\n5a – 4x < 6 => x < 6
\nSolution set = {x : x < 6}
\n= { 1, 2, 3, 4, 5, 6} Ans.<\/p>\n

Question 9.<\/strong><\/span>
\nFind three smallest consecutive natural numbers such that the difference between one-third of the largest and one-fifth of the smallest is atleast 3.<\/strong>
\nSolution:<\/strong><\/span>
\nLet first least natural number = x
\nthen second number = x + 1
\nand third number = x + 2
\n\"ML<\/p>\n

Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test are helpful to complete your math homework.<\/p>\n

If you have any doubts, please comment below. APlusTopper<\/a> try to provide online math tutoring for you.<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test. ML Aggarwal SolutionsICSE SolutionsSelina ICSE Solutions Question 1. Solve the … Read more<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6768],"tags":[6795,6794,6796,6775,6793,6799,6798,39620,6776,39619],"yoast_head":"\nML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-5-chapter-test\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 5 Linear Inequations Chapter Test These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. 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