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Question

If X and Y are two sets and X denotes the complement of X, then
X(XY) is equal to


A

X

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B

Y

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C

ϕ

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D

XY

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Solution

The correct option is C

ϕ


X(XY)=X(XY) [(AB)=AB]=(XX)Y=ϕY=ϕ [ϕA=ϕ]


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