Ex 5.1, 19 - Chapter 5 Class 11 Linear Inequalities

Last updated at Dec. 16, 2024 by

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Ex 5.1, 19 Solve the given inequality and show the graph of the solution on number line: 3(1 – x) < 2 (x + 4) 3(1 – x) < 2 (x + 4) 3 – 3x < 2x + 8 – 3x – 2x < 8 – 3 – 5x < 5 Dividing both sides by 5 ﷐−5𝑥﷮ 5﷯ < ﷐5﷮5﷯ −𝑥 < 1 Since x is negative, we multiply both sides by -1 & change the signs (– 1) × (-x) > (–1) × (1) x > −1 The graphical representation is Here –1 is not included in the shaded graph

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo