Question

What does the shaded portion of the Venn diagram given above represent?

• A. $(P \cap Q) \cap (P \cap R)$
• B. $((P \cap Q) - R) \cup ((P \cap R) -Q)$
• C. $((P \cup Q) -R) \cap ((P \cap R) -Q) $
• D. $((P \cap Q) \cup R) \cap ((P \cup Q) -R)$

Answer 1

Answer: (B)

In the given Venn diagram, shaded area between sets P an Q is $(P \cap Q) - R$ and shaded area between P and R is $(P \cap R) - Q$. So, both the shaded area is union of these two area and is represented by
$((P \cap Q) - R) \cup ((P \cap R) -Q)$.