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

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) .

Let U = {1, 2, 3, 4, 5, 6}, A = (2, 3} and B = (3, 4, 5}. Find A’ , B’ , A’ nn B’, A uu B and hence show that (A uu B)' =A’ nn B' .

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

Using properties of sets, show that A uu ( A nn B)=A

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

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

Prove that : (A uu B uu C)^(c) =A^(c) nn B^(c) nn C^(c) .

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

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