Question

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

• A. Empty
• B. Singleton
• C. Data insufficient
  
• D. None of these
  

Answer 1

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
$\therefore C=\left\{6\right\}$
Clearly C is singleton set.