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  4. If A and B be any two sets, then A ∩ (A ∪ B)' is equal to

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Q. If $A$ and $B$ be any two sets, then $A \cap (A \cup B)'$ is equal to

Sets

Solution:

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