# Definition:Interval/Ordered Set/Endpoint

< Definition:Interval/Ordered Set(Redirected from Definition:Endpoint of Interval)

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## Definition

Let $\struct {S, \preccurlyeq}$ be an ordered set.

Let $a, b \in S$.

Let:

- $\closedint a b$

or

- $\hointr a b$

or

- $\hointl a b$

or

- $\openint a b$

be an interval.

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The elements $a, b \in S$ are known as the **endpoints** of the interval.

$a$ is sometimes called the **left hand endpoint** and $b$ the **right hand end point** of the interval.

## Also known as

An **endpoint of an interval** can also be written as **end point**.

## Also see

- Results about
**endpoints of intervals**can be found**here**.

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**interval** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**interval**