Let X and Y be two non-empty sets such t...

Let X and Y be two non-empty sets such that `XnnA=YnnA=phiandXuuA=YuuA` for some non-empty set A. Then, a)X is a proper subset of Y b)Y is a proper subset of X c)X = Y d)X and Y are disjoint sets

A

X is a proper subset of Y

B

Y is a proper subset of X

C

X = Y

D

X and Y are disjoint sets

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Let A be a non - empty set such that A xx B=A xx C show that B=C

If X and Y are two sets such that n(X)=17 , n(Y)=23 and n(XuuY)=38 , Find n(Xnn Y) .

Let S be the set of all sets and let R={(A,B):AsubsetB} i.e A is a proper subset of B.Show that R is not symmetric

Let S be the set of all sets and let R={(A,B):AsubsetB} i.e A is a proper subset of B.Show that R is (i).Transitive

Let S be the set of all sets and let R={(A,B):AsubsetB} i.e A is a proper subset of B.Show that R is Not reflexive

Find two numbers x, y such that |x+y|=|x|+|y|

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

If X and Y are two sets such that n (X) = 17, n (Y) = 23 and n (X cupY) =38, find n (X cap Y)