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Question

The set B={x:x=3n+1, n ϵ N and n20} is _________.

A
an infinite set
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B
a finite set
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C
singleton set
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D
a null set
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Solution

The correct option is B a finite set

Given B={x:x=3n+1 where n ϵ N and n20}

Substituting n = 1, 2, 3, 4, 5.......20 we get,

B = {4, 7, 10, 13, 16,...., 61}.
Set B has finite number of elements therefore, set B is a finite set.


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