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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.
For example: is a strict inequality. However, is not a strict inequality.
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 , .
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