i) Set of integers which lie between 2 and 3 .

Question

Which of the following are empty sets? Justify your answer. 

i) Set of integers which lie between 2 and 3 . 

ii) Set of natural numbers that are smaller than 1. 

iii) Set of odd numbers that leave remainder zero, when divided by 2.

Answer 1

i) This is null set. We know that there is no integer that lie between 2 and 3. 

ii) This is also a null set. We know that there is’ no natural number less than ‘1’.

iii) This is a null set. We know that odd numbers do not leave remainder zero when divided by 2.