# Solve the inequality - 3 ≤ 4 - 7x/2 ≤ 18

**Solution:**

- 3 ≤ 4 - 7x/2 ≤ 18

⇒ - 3 - 4 ≤ - 7x/2 ≤ 18 - 4

⇒ - 7 ≤ - 7x/2 ≤ 14

⇒ 7 ≤ 7x/2 ≤ - 14

⇒ 1 ≥ x/2 ≥ - 2

⇒ 2 ≥ x ≥ - 4

⇒ - 4 ≤ x ≤ 2

Thus, the solution set for the given inequality is [- 4, 2]

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 3

## Solve the inequality - 3 ≤ 4 - 7x/2 ≤ 18

**Summary:**

Linear inequalities - 3 ≤ 4 - 7x/2 ≤ 18 is given. We have found that solution set for the given inequality is [- 4, 2]