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WAEC Mathematics 1992 Question 1

Question 1

Sets

Let U = {1, 2, 3, 4}, P = {2, 3} and Q = {2, 4}. What is (P∩Q)'?

  1. A.{1, 2, 3}
  2. B.{1, 3, 4}
  3. C.{2, 3}
  4. D.{1, 3}
  5. E.{1, 4}
Show the answer and explanation

Answer: B ({1, 3, 4})

Explanation

P∩Q = {2}. Its complement is every element of U except 2, which is {1, 3, 4}.