JAMB Mathematics 1998 Question 9

Question 9

Sets

In the diagram above, the shaded region is

Diagram for this question
  1. A.(P ∩ Q) ∪ R
  2. B.(P ∩ Q) ∩ R
  3. C.(P ∩ Q′) ∩ R
  4. D.(R ∩ Q′) ∪ R
Show the answer and explanation

Answer: C ((P ∩ Q′) ∩ R)

Explanation

The shaded part lies inside both P and R but outside Q, which is (P ∩ Q′) ∩ R.