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WAEC Mathematics 2017 Question 6

Question 6

Sets

If M = {x: 3 ≤ x < 8} and N = {x: 8 < x ≤ 12}, which of the following is true? I. 8 ∈ M ∩ N II. 8 ∈ M ∪ N III. M ∩ N = ∅

  1. A.III only
  2. B.I and II only
  3. C.II and III only
  4. D.I, II and III
Show the answer and explanation

Answer: A (III only)

Explanation

8 is in neither set (M stops below 8 and N starts above 8), so I and II are false; the sets share no element, so III is true.