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Question

The set {78,89,910,1011,1112} expressed in set-builder form is ____. (Here, N represents the set of natural numbers.)


A

{x:x=7n7n+1, nN}

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B

{x:x=nn+1, nN, 7n11}

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C

{x:x=nn+1, nN,7<n<11}

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D

{x:x=nn+1, nN}

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Solution

The correct option is B

{x:x=nn+1, nN, 7n11}


{78,89,910,1011,1112}={77+1,88+1,99+1,1010+1,1111+1}

This can be represented in the set-builder form as
{x:x=nn+1, nN, 7n11},
where N stands for the set of natural numbers.


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