If A, B and C are any three sets, then A-(B C) is equal to. - Vidyadip

MCQ

If $A, B$ and $C$ are any three sets, then $\text{A}-(\text{B }\cup\text{ C})$ is equal to.

A
$(\text{A - B ) }\cup\ (\text{A - C})$
B
$(\text{A - B ) }\cup\ \text{C}$
C
$(\text{A - B ) }\cap\ \text{C}$
✓
$(\text{A - B ) }\cap\ (\text{A - C ) }$

✓

Answer

Correct option: D.

$(\text{A - B ) }\cap\ (\text{A - C ) }$

Given $A, B$ and $C$ are any three sets.
Now $\text{A }-(\text{B }\cup\text{ C})=(\text{A - B ) }\cap\ (\text{A - C ) }$

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