For any two sets A and B, prove that

A – (A ∩ B) = A – B

If A, B, C are three sets such that A ⊂ B, then prove that C – B ⊂ C – A.

For any two sets A and B, prove that

(A ∪ B) – B = A – B

For any two sets A and B, prove that

A – (A – B) = A ∩ B

For any two sets A and B, prove that

A ∪ (B – A) = A ∪ B