# For any two sets A and B,

Question:

For any two sets $A$ and $B, A \cap(A \cup B)=$

(a) A

(b) B

(c) ϕ

(d) none of these.

Solution:

(a) A

$A \cap(A \cup B)=(A \cap A) \cup(A \cap B)=A \cup(A \cap B)=A$