Question

Is the Set of odd numbers between $7$ and $19$ an empty set?

Answer 1

In this question, we need to check whether the given set of odd numbers between $7$ and $19$ is an empty set or not. Then , We can find the elements of the given set. If there are any elements in the set which satisfy the given statement then it is not an empty set similarly If there are no elements in a set then the set is an empty set.

Complete answer:
Given, Set of odd numbers between $7$ and $19$ .
Let us consider A to be the set of odd numbers between $7$ and $19$ .
Now let us find the elements of the given set A.
$A = \\{ 9,\ 11,\ 13,\ 15,\ 17\\}$
$n(A)=5$
Thus there are five elements in set A.
Set of odd numbers between $7$ and $19$ is not an empty set.

Note: In order to solve these types of questions, we should have a strong grip over the types of Sets namely finite , infinite and empty sets. We also need to know that a finite set is nothing but a set with a finite number of elements. The given set in our question is also a finite set since it contains a finite number of elements. Similarly, an infinite set is nothing but a set with an infinite number of elements whereas an empty set is a set with zero elements; it's also known as a null set or a void set.