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Question

Classify the following set as 'singleton' or 'empty': C={x|x is natural number, 5<x<7}

A
Empty
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B
Singleton
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C
Data insufficient
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D
None of these
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Solution

The correct option is B Singleton
The set of Natural number is
N={1,2,3,4,5,6,7,...}
Clearly, natural number between 5 and 7 is only 6
Thus, the set C contain only one element
C={6}
Clearly C is singleton set.

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