Sets-Relations-And-Functions Question 144

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 $