Definition:Inequality/Strict

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

• Definition:Weak Inequality

• 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.)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inequality
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inequality: 2.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): strict inequality