In this tutorial, we will cover how to denote a subset using Latex.

With subsets we use non subset, super subset and non super subset. And it is very important for you to know how to represent these symbols with the help of latex.

So, take a look at this table below. Here is the list of latex commands.

Set symbol | Command |
---|---|

Subset | `\subseteq` |

Not subset | `\nsubseteq` |

Proper subset | `\subset` |

Not Proper subset | `\not\subset` |

## Subset and non subset symbol in LaTeX

Mathematically, you need to use the **⊆** symbol to represent the subset.

Properties | Value |
---|---|

Symbol | Subset |

Argument | No |

Command | `\subseteq` |

Example | `\subseteq` → ⊆ |

You need to use the `\subseteq`

command to identify subset symbols without installing any packages using Latex.

```
\documentclass{article}
\begin{document}
$a \subseteq b$
\end{document}
```

**Output :**

**Second,** you need to use the `\nsubseteq`

command for non-subset symbols.

Properties | Value |
---|---|

Symbol | Not Subset |

Argument | No |

Command | `\nsubseteq` |

Example | `\nsubseteq` → ⊈ |

Suppose two sets a and b are taken here. And the number of elements of a is less than b and unequal. Then

```
\documentclass{article}
\begin{document}
$a \nsubseteq b$
\end{document}
```

**Output :**

Each set is its own subset

```
\documentclass{article}
\begin{document}
$P \subseteq P$
\end{document}
```

**Output :**

## Proper subset and non proper subset symbol in LaTeX

Proper subset is not a separate concept, it is a part of subset. In latex, the proper subset symbol is represented by the ⊂ symbol.

```
\documentclass{article}
\begin{document}
$a \subset b$
\end{document}
```

**Output :**

If you look at the program above, you will understand that the `\subset`

command has been used for the proper subset symbol.

In the same way, for not proper subset you need to use both `\not`

and `\subset`

commands together.

```
\documentclass{article}
\begin{document}
$a \not \subseteq b$
\end{document}
```

**Output :**

## Latex subset with not equal symbol

Suppose, p is a subset of q but p is not equal to q. In that case, unequal symbols are used with subset symbols. For example, take a look at the following program.

```
\documentclass{article}
\usepackage{amssymb}
\begin{document}
\[ P \subsetneq Q \]
\[ P \subsetneqq Q \]
\end{document}
```

**Output :**

In this case, you need to use the **amssymb** package. And before the document starts, you need to define the package and use the `\usepackage`

command.