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

MCQ

If $A$ and $B$ are two given sets, then $A \cap {(A \cap B)^c}$ is equal to

A
$A$
B
$B$
C
$\phi $
✓
$A \cap {B^c}$

✓

Answer

Correct option: D.

$A \cap {B^c}$

d
(d) $A \cap {(A \cap B)^c} = A \cap ({A^c} \cup {B^c})$

= $(A \cap {A^c}) \cup (A \cap {B^c})$ = $\phi \cup (A \cap {B^c}) = A \cap {B^c}$.

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