WAEC Mathematics 2015 Question 42

Question 42

Sets

Describe the shaded portion in the diagram.

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

Answer: A (P' ∩ Q ∩ R')

Explanation

The shaded part is inside Q but outside both P and R, i.e. P' ∩ Q ∩ R' = (P ∪ R)' ∩ Q.