3.* Show that (A \ B) \ C = A \ (BUC). Is (A \ B)\C = A\ (B\C)? 4.* If A and B are sets, we define their symmetric difference as ΑΔΒ = Α } Β) υ (B] Α) . Prove that AAB=Ø if and only if A = B. (Hint:...

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Extracted text: 3.* Show that (A \ B) \ C = A \ (BUC). Is (A \ B)\C = A\ (B\C)? 4.* If A and B are sets, we define their symmetric difference as ΑΔΒ = Α } Β) υ (B] Α) . Prove that AAB=Ø if and only if A = B. (Hint: remember that to prove an “if and only if" statement, you need to prove two implications, one in each direction)