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JAMB Mathematics 1992 Question 9

Question 9

Sets

If U = {0, 2, 3, 6, 7, 8, 9, 10} is the universal set E = {0, 4, 6, 8, 10} and F = {x : x2 = 26, x is odd}. Find (E∩F)′ where ′ means the complement of a set

  1. A.{0}
  2. B.U
  3. C.{8}
  4. D.ϕ
Show the answer and explanation

Answer: B (U)

Explanation

x2 = 64 gives x = ±8, which are not odd, so F = ϕ. Then E∩F = ϕ, and the complement of the empty set is U.