Which are the empty sets ? Justify your answers
1) set of odd numbers that leave remainder zero,when divided by 2.
2)set of integers which lie between 2 and 3.
1) set of odd numbers that leave remainder zero,when divided by 2.
It is a empty set.
Because the odd numbers divided by 2, the remainder is always 1.
Here given is remainder is one, therefore in this no element is found. Therefore it is a null set.
2)set of integers which lie between 2 and 3.
It is a empty set.
Series of integer is given by
1,2,3,4,5,6...........
The adjacent number of 2 is 3. 2 and 3 are consecutive number of integer series. Which is clear in the above series.
Therefore no element is found in set of integers which lie between 2 and 3. Therefore it is a empty set.