"When is the set statement:
(A\B)⊕(A ∩ B) = A
true? Is it sometimes true, never true, or always true? If sometimes, state the specific cases where it is. A & B are arbitrarily selected sets."
I said it was sometimes, as, it seems if A is empty and B is empty, then A\B is empty, A ∩ B is empty, and so the entire left side is then empty, and so is A. Would that be correct? Further, are there are other cases where this is a true statement?
Thank you for your time. ^^