Strict inequality

Revision as of 09:41, 14 August 2006 by JBL (talk | contribs)

This article is a stub. Help us out by expanding it.

A strict inequality is an inequality where the inequality symbol is either $>$ (greater than) or $<$ (less than). That is, a strict inequality is an inequality which has no equality conditions.

An example of a well-known strict inequality is the Triangle Inequality, which states that, in a nondegenerate triangle $ABC$, the following relation holds:


A non-example is the Trivial Inequality which states that if $x$ is a real number then $x^2 \geq 0$. This inequality is not strict because it has an equality case: when $x = 0$, $x^2 = 0$.

Invalid username
Login to AoPS