Solve the inequality - 15 < 3(x - 2)/5 ≤ 0

Solution:

- 15 < 3(x - 2)/5 ≤ 0

⇒ - 75 < 3(x - 2) ≤ 0

⇒ - 25 < x - 2 ≤ 0

⇒ - 25 + 2 < x ≤ 2

⇒ - 23 < x ≤ 2

Thus, the solution set for the given inequality is (- 23, 2]

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 4

Solve the inequality - 15 < 3(x - 2)/5 ≤ 0

Summary:

Linear inequations - 15 < 3(x - 2)/5 ≤ 0 is given. We have found that solution set for the given inequality is (- 23, 2]