x nn(y uu x)

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 )

If X and Y are two sets and X^c denotes the complement of X, then X nn (X uu Y)^c is equal to :

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

If A, B and C be sets. Then, show that A nn (B uu C) = (A nn B) uu (A nn C) .

If A, B and C be sets. Then, show that A nn (B uu C) = (A nn B) uu (A nn C) .

If A = {1, 2, 3, 4} and B nn C = {4, 5} then determine the set (A uu B) nn (A uu C)

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