Solve the inequality 7 ≤ (3x + 11)/2 ≤ 11

Solution:

7 ≤ (3x + 11)/2 ≤ 11

⇒ 14 ≤ 3x + 11 ≤ 22

⇒ 14 - 11 ≤ 3x ≤ 22 - 11

⇒ 3 ≤ 3x ≤ 11

⇒ 1 ≤ x ≤ 11/3

Thus, the solution set for the given inequality is [1, 11/3]

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 6

Solve the inequality 7 ≤ (3x + 11)/2 ≤ 11

Summary:

Linear inequations 7 ≤ (3x + 11)/2 ≤ 11 is given. We have found that solution set for the given inequality is [1, 11/3]