Definition:Inequality/Weak

Definition

A weak inequality is an inequality which permits the possibility of equality.

That is, an inequality of the form:

$a \le b$

$a \ge b$

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:Strict Inequality

• Results about inequalities can be found here.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): weak (of an inequality, ordering etc.)
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): weak inequality