Sets Relations And Functions Question 89
Question: Let U be the universal set and $ A\cup B\cup C=U $ . Then $ [(A-B)\cup (B-C)\cup (C-A)]’ $ equals
Options:
A) $ A\cup B\cup C $
B) $ A\cap B\cap C $
C) $ A\cup (B\cap C) $
D) $ A\cap (B\cup C) $
Show Answer
Answer:
Correct Answer: B
Solution:
- [b]
$ A-B\to Regions3and5. $
$ B-C\to Regions5and6. $
$ C-A\to Regions4and7 $
$ \therefore (A-B)\cup (B-C)\cup (C-A)\to Regions2,3,4,5,6,7 $
$ \therefore {{[(A-B)\cup (B-C)\cup (C-A)]}^{\prime }}\to Region1, $ $ whichisA\cap B\cap C $
BETA
