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WAEC Mathematics 1999 Question 2

Question 2

Sets

If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct?

  1. A.(P∩Q)' = {2, 3, 4, 13}
  2. B.n(P∪Q) = 4
  3. C.P∪Q = ϕ
  4. D.P∩Q = ϕ
Show the answer and explanation

Answer: D (P∩Q = ϕ)

Explanation

P and Q have no element in common, so P∩Q is the empty set.