WAEC Mathematics 1991 (August) Question 31

Question 31

Sets

P = {2, 1, 3, 9, ½}, Q = {1, 2½, 3, 7} and R = {5, 4, 2½}
Find P∩Q∩R.

  1. A.{2½}
  2. B.∅
  3. C.{1, 3, 7}
  4. D.{4}
  5. E.{5, 7, 9}
Show the answer and explanation

Answer: B (∅)

Explanation

No element is in all three sets (R has none of P's elements), so the intersection is empty.