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Idea of a Set

If X and Y ar...

Question

If $X$ and $Y$ are two sets, then $X \cap (Y \cup X)^{C}$ equals to

A

X

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B

Y

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C

ϕ

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D

X \cap Y

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Solution

The correct option is C $ϕ$
$X \cap (X \cup Y)^{C} = X \cap (X^{C} \cap Y^{C}) = X \cap X^{C} \cap Y^{C} = ϕ$

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