Question

Write any one example for empty in the set builder form.

Answer 1

Hint:First we need to know what is an empty set and how to write and notate it. Then we should define the set builder form.Finally we gave an example for empty in the set builder form.

Complete step-by-step answer:
First we need to know empty set
A set is said to be an empty set if this set does not contain any element or member then it is called an empty set. It is also called void set or null set.
The symbol for the empty set is $\phi $ (phi).
Also, we need to know Set -builder form
Set builder form:
In the set builder form, each and every element of a set possess a single common property.
For example$\{ a,e,i,o,u\} $, all the elements possess a common property, namely; each of them is a vowel in the English alphabet, and no other letter of the English alphabet possesses this property.
Now let denoting the set by B,
We can write, B=$\{ x:x$ is vowel in English Alphabet}
Here \[x\] is variable so we can change it by any variables \[y,{\text{ }}z\]….etc.
Example: V=$\{ x:8 < x < 9,x$ is a natural number}
This set does not have any natural number in between $8$ and $9$.
Therefore, this set is an example of empty set
Hence V is the empty set in the form of set builder form which we required.

Note:There will be zero number of elements in the empty set .And we can represent the empty set as ${ }$.Empty set is also known as Null set.Example for empty set $E=\{\text{set of squares with 5 sides}\}$.