Question

B = The set of all even natural numbers which are not divisible by 2. Identify
whether the set is null set or singleton set?

Answer 1

Null set is the set of no elements. and Singleton set is the set of only one element.

Even numbers are defined as the number which leave a remainder 0 , in case they are divided by 2 .

So, All even numbers are divisible by 2 .

Hence ,All even natural numbers are divisible by 2 . There is no natural number which is not divisible by 2 .

B = { Ø }

Therefore, B is a empty set with no elements.

Answer 2

Hi ,

***************************************

Empty Set :

A set which does not contain

any element is called empty set,

or Null set or a void set .

Singleton Set :

A set consisting of a single element

is called a singleton Set.

****************************************

Now ,

It is given that ,

B= Set of all even natural numbers

which are not divisible by 2

There is no even natural number

which is not divisible by 2.

Therefore ,

B = { }

B is an empty Set.

I hope this helps you.

: )