# Definition:Inequality

## Definition

An inequality is a mathematical statement that two expressions relate in one of several conventional ways:

$a < b$
$a \le b$
$a > b$
$a \ge b$

A statement of the form:

$a \ne b$

may or may not be considered an inequality.

### Member of Inequality

Let $\mathcal R$ be an inequality.

Let $a \mathrel {\mathcal R} b$.

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

## Also see

• Results about inequalities can be found here.