CUET Preparation Today
CUET
-- Mathematics - Section B1
Relations and Functions
If X and Y are two sets, then x ∩ (Y ∪ X)' equals
X
Y
$\phi$
None of these
We have,
$X \cap(Y \cup X)'=X \cap\left(Y' \cap X'\right) \cap Y'=\left(X \cap X'\right) \cap Y'=\phi \cap Y'=\phi$
Hence (3) is the correct answer.