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  4. If A and B are two sets, then A ∩ (A ∪ B) equals

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Q. If $A$ and $B$ are two sets, then $A \cap (A \cup B)$ equals

Sets

Solution:

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