Solve the inequality 6 ≤ - 3(2x - 4) < 12

Solution:

6 ≤ - 3(2x - 4) < 12

⇒ 2 ≤ - (2x - 4) < 4

⇒ - 2 ≥ 2x - 4 > - 4

⇒ 4 - 2 ≥ 2x > 4 - 4

⇒ 2 ≥ 2x > 0

⇒ 1 ≥ x > 0

⇒ 0 < x ≤ 1

Thus, the solution set for the given inequality is (0, 1]

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 2

Solve the inequality 6 ≤ - 3(2x - 4) < 12

Summary:

Linear inequalities 6 ≤ - 3(2x - 4) < 12 is given. We have found that solution set for the given inequality is (0, 1]