# Proper Subset (Definition, Symbol, Example, Venn Diagram)

## Proper Subset

### What is Proper Subset?

A set $A$ is called a Proper Subset of $B$ only when

• Set A and set B are not equal and
• Set A is a subset of set B.

### Proper Subset Symbol

If set $A$ is a Proper Subset of set $B$, then mathematically, it can be written as,

$A\subset B$

### Proper Subset Example

Let us consider two sets $A$ and $B$ as given below.

$A$ = {1, 2, 3}

$B$ = {1, 2, 3, 4, 5}

The figure shows the Venn diagram of a Proper Subset. Here, Set $A$ is called the Proper Subset of set $B$ because all the elements of set $A$ are present in the set $B$, and set $A$ and $B$ are not equal.

Therefore,

$$\displaystyle A\subset B$$.