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). $