---
title: interval
---

An [_interval_](https://en.wikipedia.org/wiki/Interval_(mathematics)) is a range of numbers between two endpoints: closed, open, or half-open.

  - A _closed interval_, denoted by brackets, includes its endpoints. For example, [0,&nbsp;1]&nbsp;is the interval where `0 <= x <= 1`.

  - An _open interval_, denoted by parentheses, excludes its endpoints. For example, (0,&nbsp;1)&nbsp;is the interval where `0 < x < 1`.

  - A _half-open interval_ includes only one of its endpoints. For example, (0,&nbsp;1]&nbsp;is the _left-open_ interval where `0 < x <= 1`, while [0,&nbsp;1)&nbsp;is the _right-open_ interval where `0 <= x < 1`.
