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Question

If U={x:xN}, A={x:x=2n,nN} and B={x:x is a prime number}, then AB is a set with cardinality ________.


A

infinity

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B

zero

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C

one

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D

two

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Solution

The correct option is C

one


U={x:xN}

U={1,2,3,4,5,...}

A={x:x=2n,nN}

A={2,4,6,8,...}

B={x:x is a prime number}

B={2,3,5,7,11,...}

AB={2} as 2 is the only even prime number.

Hence, AB is a set with cardinality one.


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