Show that `(A uu B) - (A nn B) = (A-B) uu (B-A)`

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

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

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

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

Prove that : (A uu B)-C=(A-C) uu (B-C) .

Show that for any sets A and B, A = ( A nn B) uu ( A -B ) and A uu (B-A) = (A uu B)

If U= {a, e, i, o,u}, A= {a, e, i}, B= {e, o, u}, C = (a, i, u}, then: Verify that A -(B nn C) =(A-B)uu(A-C) .

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) .

Prove that : (i) A sub (A uu B) (ii) B sub (A uu B) .