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

1.	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» 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.

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»

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.