# Definition:Inequality/Strict

< Definition:Inequality(Redirected from Definition:Strict Inequality)

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## Definition

A **strict inequality** is an **inequality** which does not permit the possibility of equality.

That is, an **inequality** of the form:

- $a < b$
- $a > b$

### Member of Inequality

Let $\RR$ be an inequality.

Let $a \mathrel \RR b$.

Then both $a$ and $b$ are referred to as **members** of the inequality $\RR$.

## Also see

- Results about
**inequalities**can be found**here**.

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next):**strict**:**1.**(of a relation etc.)