WAEC Mathematics 2012 Question 14

Question 14

Inequalities

Solve the inequality: −m/2 − 5/4 ≤ 5m/12 − 7/6.

  1. A.m ≥ 5/4
  2. B.m ≤ 5/4
  3. C.m ≥ −1/11
  4. D.m ≤ −1/11
Show the answer and explanation

Answer: C (m ≥ −1/11)

Explanation

Multiply by 12: −6m − 15 ≤ 5m − 14, so −11m ≤ 1. Dividing by −11 reverses the sign: m ≥ −1/11.