WAEC Mathematics 2010 Question 16

Question 16

Inequalities

Solve the inequality: 3(x + 1) ≤ 5(x + 2) + 15.

  1. A.x ≥ −14
  2. B.x ≤ −14
  3. C.x ≤ −11
  4. D.x ≥ −11
Show the answer and explanation

Answer: D (x ≥ −11)

Explanation

3x + 3 ≤ 5x + 25, so −2x ≤ 22. Dividing by −2 reverses the sign: x ≥ −11.