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WAEC Further Mathematics 2012 Question 1

Question 1

Sets and Logic

Which of the following sets is equivalent to (P ∪ Q) ∩ (P ∪ Q)?

  1. A.P
  2. B.P ∩ Q
  3. C.P ∪ Q
  4. D.φ
Show the answer and explanation

Answer: C (P ∪ Q)

Explanation

Any set intersected with itself is the same set, so (P ∪ Q) ∩ (P ∪ Q) = P ∪ Q.