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Misc 8 - Sovle 2(x - 1) < x + 5, 3(x + 2) > 2 - x - Chapter 6

Misc 8 - Chapter 6 Class 11 Linear Inequalities - Part 2

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Misc 8 Solve the inequalities and represent the solution graphically on number line: 2(x – 1) < x + 5, 3(x + 2) > 2 – x Solving 2(x – 1) < x + 5 2x – 2 < x + 5 2x – x < 5 + 2 x < 7 Solving 3(x + 2) > 2 – x 3x + 6 > 2 – x 3x + x > 2 – 6 4x > – 4 x > (−4)/4 x > −1 Thus, x < 7 & x > – 1 The graphical representation is Here both 7 & -1 are not included in the shaded graph The solution of the system of equations is −1 < x < 7

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.