What, if anything, is necessarily true inequalities called?

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    Inequalities
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SUMMARY

In mathematical terminology, an inequality that holds true for all members of a specified set is referred to as an "identinequality." For instance, the inequality x² + 1 ≥ 0 is an example of an identinequality for real numbers. While the term "identinequality" may not be widely recognized in English literature, it serves as a precise label for such inequalities, paralleling the concept of identities in mathematics.

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  • Familiarity with inequalities and their properties
  • Knowledge of mathematical terminology, specifically "identity" and "inequality"
  • Basic comprehension of real number sets
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An equality that is true for all members of a specified set is generally called an "identity" (for example x+x=2x is, say, an identity wrt the set of real numbers).

But do inequalities that are true for all members of a specified set have an established name?
(An inequality of that kind would be [itex]x^{2}+1\geq{0}[/itex] for real x).
 
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Yes, identinequalities;;;perhaps not found in English bibliography
 

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