Question

Classify the following set as 'singleton' or 'empty': $A=\{x|x$ is a negative natural number$\}$

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

Answer 1

The correct option is B Empty

The set of Natural number is
$N=\{1,2,3,4,5,...\}$
Clearly, natural number are positive numbers.
Therefore, Set A does not contain any element.
$\therefore A=\left\{x|\text{x is negative natural number}\right\}=\varphi$
i.e A is empty.