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JAMB Mathematics 1994 Question 8

Question 8

Sets

Given that for sets A and B, in a universal set E, A ⊆ B then A ∩ (A ∩ B)′ is

  1. A.A′
  2. B.∅
  3. C.B
  4. D.E
Show the answer and explanation

Answer: B (∅)

Explanation

If A ⊆ B then A ∩ B = A. So the expression is A ∩ A′, which has no elements: the empty set ∅.