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JAMB Mathematics 2009 Question 11

Question 11

Sets

I. S ∩ T ∩ W = S
II. S ∪ T ∪ W = W
III. T ∩ W = S
If S ⊂ T ⊂ W, which of the above statements are true?

  1. A.I and II
  2. B.I and III
  3. C.II and III
  4. D.I, II and III
Show the answer and explanation

Answer: A (I and II)

Explanation

Since S is inside T and T is inside W, the intersection of all three is S (I true) and the union is W (II true). But T ∩ W = T, not S, so III is false.