Solve the inequality - 12 < 4 - 3x/(- 5) ≤ 2

Solution:

- 12 < 4 - 3x/(- 5) ≤ 2.

⇒ - 12 - 4 < 3x/5 ≤ 2 - 4

⇒ 16 < 3x/5 ≤ - 2

⇒ - 80 < 3x ≤ - 10

⇒ - 80/3 < x ≤ - 10/3

Thus, the solution set for the given inequality is (- 80/3, - 10/3)

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 5

Solve the inequality - 12 < 4 - 3x/(- 5) ≤ 2

Summary:

Linear inequations - 12 < 4 - 3x/(- 5) ≤ 2 is given. We have found that solution set for the given inequality is (- 80/3, - 10/3)