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.