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WAEC Mathematics 2010 Question 13

Question 13

Sets

Given that P = {x: 1 ≤ x ≤ 6} and Q = {x: 2 < x < 10}, where x is an integer. Find n(P ∩ Q).

  1. A.4
  2. B.6
  3. C.8
  4. D.10
Show the answer and explanation

Answer: A (4)

Explanation

P = {1, …, 6} and Q = {3, …, 9}. P ∩ Q = {3, 4, 5, 6}, so n(P ∩ Q) = 4.