[" I.ct "A" and "B" be sets.If "A nn X=B nn X=phi andA],[X" .show that "A=B" ."],[" (limes A "sin A(A uu X),B=B nn B uu X" ,an "]

Let A and B be sets.If A nn X=B nn X=phi and A uu X=B uu X for some set X then how that A=B

Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for some set X, show that A = B. (Hints A = A nn (A uu X) , B=B nn (B uu X) and use Distributive law )

Let A and B be sets .If A nn X=B nn X=O/ and Auu X=B uu X for some set X,then show that A=B.

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

(A uu B) nn (A uu B ^ (c)) = A

Show that A uu B=A nn B implies A=B

Let A and B be two sets.If X is any set such that A nn X=B nn X and A uu X=B uu X then.

Prove that A nn(B uu C) =(A nn B) uu (A nn C)

If A and B are two sets, then A nn (A uu B) equals