Suppose that you have an inequality $$ a \le b \tag{I}.$$ Does in English the inequality $$ a \ge b $$ has a special name? Can we say that it is the converse or reciprocal inequality vs. $(I)$?
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Like; Greater than or equal to and Less than or equal to? – Ranc Oct 28 '16 at 12:19
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I'd call it the converse relation. – bof Oct 28 '16 at 12:21
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As it isn't really the converse, I wouldn't call it the converse inequality. – user251257 Oct 28 '16 at 12:44
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I've seen this called the "reverse" inequality. I would never call it the "converse" inequality (that would be something like "$\lnot (a>b)$", wouldn't it?). – MPW Oct 28 '16 at 13:35
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You will usually hear the converse relation.
Though be careful, that is not really a standard terminology, and it is better to actually say what you mean, i.e. here : $a$ is greater or equal than $b$.
E. Joseph
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1You'll even find that term used in a familiar tertiary reference where it was first added in March 2012. The related idea "reverse" was present at various times prior to 2009 (example. – Eric Towers Oct 28 '16 at 12:54