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).(adsbygoogle = window.adsbygoogle || []).push({});

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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# What, if anything, is necessarily true inequalities called?

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