Home | Math | Empty Set Mean in Math | How to Denote an Empty Set

# Empty Set Mean in Math | How to Denote an Empty Set

August 27, 2022
written by Azhar Ejaz

In mathematics, a set is a collection of well-defined of distinct objects or elements. A set that does not contain any member is called an empty set or a null set.

An empty set is represented by using the symbol ‘âˆ…’. It is read as ‘phi’. Example: Set X = {}. It is also called an empty set or null set. In this article, let’s learn about empty sets or null set their definition, properties, and examples.

## What is an empty set?

In mathematics, a set is a collection of well-defined of distinct objects or elements. A set that does not contain any member is called an empty set or a null set. An empty set is represented by using the symbol ‘âˆ…’. It is read as ‘phi’. Example: Set X = {}. It is also called an empty set or null set.

For example:

A={x:x=whole number 3<x<4}

B={x:x=prime number 8<x<10}

## Empty set symbol

An empty set is denoted by as {}, containing no element at all. It is also denoted using the symbol ‘âˆ…’ (read as ‘phi’).

## How to denote an empty set

Empty sets are denoted by using the empty curly brackets { } in set theory that are generally used to denote sets. However, since empty sets are unique types of sets, these sets can also be denoted by using a special character âˆ…. Let an example of an empty set A containing multiples of 5 between 6 and 8. Since there are no multiples of 5 between 6 and 8, so the given set is an empty set.

Set A = {y: y is a multiple of 5 and 6<y<8}

• The notation of this empty set is: A = { }.
• The same empty set A can also be denoted using the following notations: Empty set = { } or, X = { }.
• We can use the special symbol âˆ… to indicate an empty set.

Summary

Few important points about the empty set

•  An empty set or a null set can be defined if it doesn’t contain any members or objects.
• Empty sets are also said empty sets or null sets.
• The union operation between any set and an empty set will always answer in the set itself.
File Under: