# Empty Set Mean in Math | How to Denote 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 ‘∅’. 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 ‘∅’. 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 ‘∅’ (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 ∅. 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 ∅ 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.

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