Sets Relations And Functions Question 85
Question: The set $ (A\cap B’)’\cup (B\cap C) $ is equal to
Options:
A) $ A’\cup B\cup C $
B) $ A’\cup B $
C) $ A’\cup C’ $
D) $ A’\cap B $
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ (A\cap B’)’\cup (B\cap C)=((A’\cup (B’)’)\cup (B\cap C) $
$ =(A’\cup B)\cup (C\cap B) $
$ =A’\cup (B\cup (C\cap B)) $
$ =A’\cup B $