JAMB Mathematics 2000 Question 1

Question 1

Sets

Let P = {1, 2, u, v, w, x}, Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}. Determine (P − Q) ∩ R.

  1. A.{1, x}
  2. B.{x, y}
  3. C.{x}
  4. D.∅
Show the answer and explanation

Answer: C ({x})

Explanation

P − Q keeps the elements of P that are not in Q: {1, x}. Of these, only x is in R, so (P − Q) ∩ R = {x}.