Sets Relations And Functions Question 17

Question: What does the shaded portion of the Venn diagram given below represent?

Options:

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) $

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b]In the given Venn diagram, shaded area between sets P and 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). $