WAEC Mathematics 2014 Question 11

Question 11

Sets

If X = {0, 2, 4, 6}, Y = {1, 2, 3, 4} and Z = {1, 3} are subsets of U = {x: 0 ≤ x ≤ 6}, find X ∩ (Y′ ∪ Z).

  1. A.{0, 2, 6}
  2. B.{1, 3}
  3. C.{0, 6}
  4. D.{ }
Show the answer and explanation

Answer: C ({0, 6})

Explanation

Y′ = {0, 5, 6}, so Y′ ∪ Z = {0, 1, 3, 5, 6}. The elements of X in it are 0 and 6.