Let A and B be sets. If `AnnX=BnnX=phi` and `AuuX=BuuX` for some set X then how that A=B

Let A and B be sets. If AnnX=BnnX=phi and AuuX=BuuX for some set X then show that A=B

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.

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

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 AcapX=Bcapx=phiandAuuX=BuuX for same set X, prove that A=B.

Let A and B be sets. If A cap X=B cap X= phi and A cup X=B cup X for some set X, show that A=B. (Hints A=A cap (A cup X), B=B cap (B cup X) and use distributive law)

Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some set X, show that A = B .

Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some set X, show that A = B .