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Question

The set-builder form of the set A={12,14,18,116,132,164} is ___.


A

{x:x=12n, where nW and n6}

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B

{x:x=12n, where nN and n6}

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C

{x:x=12n, where nN and n<6}

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D

{x:x=12n, where nW and n<6}

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Solution

The correct option is B

{x:x=12n, where nN and n6}


Given the set A={12,14,18,116,132,164}
={121,122,123,124,125,126}.
We can see that the denominators of the fractions in the set can be represented by 2n, where nN and n6.
So,the set builder form of A is
{x:x=12n, where nN and n6}


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