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Questions about handling with inequalities with, e.g., Reduce, Solve, FindInstance etc., their application in defining Regions, and ways to incorporate them into other computations, e.g. integration.

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Reduce is not giving a correct output

This is not a bug. Your inequality contains Sqrt[-1 + c]. In general, this is a complex number, which you cannot compare unless $c \ge 1$. But this contradicts your other condition $1>c$.
yarchik's user avatar
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6 votes
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Solving Inequalities using Mathematica

You can divide both sides by T. This reduces the number of variables to 2: $$ j=\frac{J}{T},\quad b=\frac{B}{T}.$$ To visualize inequality, one can use ContourPlot. The inequality is fulfilled in the …
yarchik's user avatar
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