Solve the inequalities and represent the solution graphically on number line
2(x - 1) < x + 5, 3(x + 2) > 2 - x

Solution:

2 (x - 1) < x + 5

⇒ 2x - 2 < x + 5

⇒ 2x - x < 5 + 2

⇒ x < 7 ....(1)

3(x + 2) > 2 - x

⇒ 3x + 6 > 2 - x

⇒ 3x + x > 2 - 6

⇒ 4x > - 4

⇒ x > - 1 ....(2)

From (1) and (2), we get, - 1 < x < 7

Hence, it can be concluded that the solution set for the given system of inequalities is (- 1, 7)

The solution of the given system of inequalities can be represented on the number line as

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NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 8

Solve the inequalities and represent the solution graphically on number line: 2(x - 1) < x + 5, 3(x + 2) > 2 - x

Summary:

Linear inequations 2(x - 1) < x + 5, 3(x + 2) > 2 - x is given. We have found that solution set for the given inequality is (- 1, 7)