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WAEC Further Mathematics 2026 Question 12

Question 12

Sets and Logic

If M = {x: −2 ≤ x ≤ 4} and N = {x: 0 < x < 6} where x is a real number, find M ∩ N.

  1. A.{x: 0 ≤ x ≤ 4}
  2. B.{x: 0 < x ≤ 4}
  3. C.{x: 0 < x < 4}
  4. D.{x: 0 ≤ x < 4}
Show the answer and explanation

Answer: B ({x: 0 < x ≤ 4})

Explanation

The numbers in both sets must be greater than 0 (from N) and at most 4 (from M), so M ∩ N = {x: 0 < x ≤ 4}.