If A,B and C are any three sets, prove that `A-(A-B) = A nn B`

If A, B and C are any three sets, then prove that : A nn (B-C) = (A nn B)-(A nn C) .

If A, B and C are any three sets, then prove that : A nn (B Delta C) = (A nn B) Delta (A nn C) .

If A and B are any two sets, prove that : A-B =A nn B^(c) .

If A and B are any two sets, prove that : (A-B) uu B =A uu B .

If A and B are any two sets, prove that P(A) = P(B) implies A = B.

Prove that : (A-B) nn (A nn B)=phi .

If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC , then (1) A""=""B (2) A""=""C (3) B""=""C (4) AnnB""=varphi

For any three sets A, B,C prove that : (A- B) xx C= (AxxC) - (BxxC) .

If A, B and C are three finite sets, then what is , [(A uu B) nn C]' equal to?

Prove that : (A-B) nn (B-A)=phi .