If A and B are two sets, then A (A B)' is equal to - Vidyadip

MCQ

If $A$ and $B$ are two sets, then $A \cap (A \cup B)'$ is equal to

A
$A$
B
$B$
✓
$\phi $
D
None of these

✓

Answer

Correct option: C.

$\phi $

c
(c) $A \cap (A \cup B)' = A \cap (A' \cap B')$,$(\because (A \cup B)' = A' \cap B'\,)$

$ = (A \cap A') \cap B'$, (by associative law)

$ = \phi \cap B'$,$(\because A \cap A' = \phi )$

$ = \phi $.

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