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Question

If X={x:x=8n7n1,nN} and Y={y:y=49n49,nN}, then which of the following is (are) TRUE?

A
XY
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B
YX
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C
XY=X
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D
XY=Y
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Solution

The correct option is C XY=X
X={x:x=8n7n1} ={0,49,490,....}Y={y:y=49n49} ={0,49,98,147,....}

As every elements of X is in Y but every element of Y is not in X, so
XYXY=X

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