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GCE Mathematics 1989 Question 27

Question 27

Sets

If A = (a,b,c), B = (a,b,c,d,e) and C = (a,b,c,d,e,f). Find (A∪B) ∩ (A∪C).

  1. A.(a,b,c,d)
  2. B.(a,b,c,d,e)
  3. C.(a,b,c,d,e,f)
  4. D.(a,b,c)
  5. E.ϕ
Show the answer and explanation

Answer: B ((a,b,c,d,e))

Explanation

A is inside both B and C, so A∪B = B and A∪C = C. B ∩ C = {a, b, c, d, e}.