Difference between revisions of "Strict inequality"
m (latex rendering) |
|||
| Line 7: | Line 7: | ||
<center><math> AB+BC>AC </math></center> | <center><math> AB+BC>AC </math></center> | ||
| − | A non-example is the [[Trivial Inequality]] which states that if <math>x</math> is a [[real number]] then <math>x^2 \geq 0</math>. This inequality is not strict because it has an equality case: when <math>x = 0</math>, <math>x^2 = 0</math>. | + | A non-example is the [[Trivial Inequality]] which states that if <math>x</math> is a [[real number]] then <math>\displaystyle x^2 \geq 0</math>. This inequality is not strict because it has an equality case: when <math>x = 0</math>, <math> x^2 = 0</math>. |
Revision as of 09:42, 14 August 2006
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 
, the following relation holds:
A non-example is the Trivial Inequality which states that if 
is a real number then 
. This inequality is not strict because it has an equality case: when 
, 
.
