Prove that `A uu B= A nn B` implies A=B.

Prove that if A uu B=C and A nn B=phi , then A= C-B.

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

Prove that A sub B,B sub C implies A sub C .

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

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

If A = {1, 2, 3, 4, 5}, B = {2, 3,5, 7, 9} and C = {3, 4, 6, 8, 10}, then prove that : A nn(B uu C)=(A nn B) uu (A nn C) .

Let A and B be two sets. Prove that : (A -B) uu B= A if and only if B sub A .

Prove that A sube B and C sube D imply : (A xxC) sube (B xxD) .

If A and B are sets and A uu B = A nn B then

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