# Solve the inequalities and represent the solution graphically on number line

3x - 7 > 2(x - 6), 6 - x > 11 - 2x

**Solution:**

3x - 7 > 2(x - 6)

⇒ 3x - 7 > 2x - 12

⇒ 3x - 2x > - 12 + 7

⇒ x > - 5 ....(1)

6 - x > 11 - 2x

⇒ - x + 2x > 11 - 6

⇒ x > 5 ....(2)

From (1) and (2), we get, - 5 < x > 5

Hence, it can be concluded that the solution set for the given system of inequalities is (5, ∞)

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

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 9

## Solve the inequalities and represent the solution graphically on number line: 3x - 7 > 2(x - 6), 6 - x > 11 - 2x

**Summary:**

Linear inequations 3x - 7 > 2(x - 6), 6 - x > 11 - 2x is given. We have found that solution set for the given inequality is (5, ∞)