Sets Relations And Functions Question 92
Question: If $ (A-B)\cup (B-A)=A $ for subsets A and B of the universal set U, then which one of the following is correct?
Options:
A) B is proper non-empty subset of A
B) A and B are non-empty disjoint sets
C) $ B=\phi $
D) None of the above
Show Answer
Answer:
Correct Answer: C
Solution:
- [c]For subsets A and B of U, If $ (A-B)\cup (B-A)=A, $
$ \Rightarrow B=\phi $