Sets Relations And Functions Question 45
Question: If A and B are subsets of a set X, then what is $ {A\cap (X-B)}\cup B $ equal to?
Options:
A) $ A\cup B $
B) $ A\cap B $
C) A
D) B
Show Answer
Answer:
Correct Answer: A
Solution:
- [a]Since, A and B are subsets of set X therefore $ A\subseteq XandB\subseteq X $ Consider $ {(A\cap (X-B)}\cup B $ $ =(A\cap B’)\cup B $ $ =A\cup B $
$ (\because B’\cap B=B) $
BETA
