WAEC Mathematics 2006 Question 42

Question 42

Sets

If P = {1, 3, 5, 7, 9} and Q = {2, 4, 6, 8, 10} are subsets of a universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, what are the elements of P′ ∩ Q′?

  1. A.{1, 3, 5, 7, 9}
  2. B.{2, 4, 6, 8, 10}
  3. C.∅
  4. D.{1, 2, 6, 8, 10}
Show the answer and explanation

Answer: C (∅)

Explanation

P′ = {2, 4, 6, 8, 10} and Q′ = {1, 3, 5, 7, 9}. They have no common element, so P′ ∩ Q′ = ∅.