JAMB Mathematics 2010 Question 20

Question 20

Inequalities

Solve the inequalities −6 ≤ 4 − 2x < 5 − x.

  1. A.−1 ≤ x < 6
  2. B.−1 < x ≤ 5
  3. C.−1 < x < 5
  4. D.−1 ≤ x ≤ 6
Show the answer and explanation

Answer: B (−1 < x ≤ 5)

Explanation

−6 ≤ 4 − 2x gives x ≤ 5. 4 − 2x < 5 − x gives x > −1. So −1 < x ≤ 5.