Let’s check out to see if the set of odd natural number divisible by 2 is a null set or not.
List out natural numbers divisible by 2
List of natural numbers are 1, 2, 3, 4, 5,6…… so on
Now Odd natural numbers = 1, 3, 5, 7, 9, 11, …
We know that odd numbers cannot be divided by 2 to these are excluded
∴ The set of odd natural numbers will not have any number which can be divided by 2
∴ the Set of odd natural numbers divisible by 2 will be an empty Set or a null Set
The Set of odd natural numbers divisible by 2 will not be a null set.
Give an example of a set of even natural numbers
Even natural number example
What are natural numbers?
Natural numbers are positive integers or non-negative numbers
e.g 1, 2, 3, 4, 5, 6………..∞
Which of the following are examples of the null set?
(a)Set of odd natural numbers divisible by 2
(b)Set of even prime numbers
Answer is (a)