Using laws of set algebra, show that `(A uu B) nn (A uu B') = A`

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

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

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

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

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

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

If A^(c) uu B=U , show that A sub B .

If A and B are two sets such that : n(A)=20, n (A uu B)=42 and n (A nn B)=4 . Find: n (B), n (A - B) and n (B - A).

If A and B are two sets such that : n(A)=17, n (A uu B)=38 and n (A nn B)=2 . Find: n (B), n (A - B) and n (B - A).