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[?] Simple inequality, MMA says there is an instance, can someone find one?

Posted 8 years ago
POSTED BY: Paul Reiser
4 Replies
POSTED BY: jagannath debata
Posted 8 years ago

Thank you for having patience with my silly question. In my problem, the real "r" was in fact Cosh[x] with x real, which is always >=1 which I neglected to consider. I was asleep at the wheel, and your example woke me up. Thank you. MMA still will not simplify, so now my problem is to find an instance which justifies it.

Clear[c, Coshl];
$Assumptions = {Coshl >= 1, c + Coshl != 0, 1 + c != 0};
FullSimplify[
 Sqrt[1/(c + Coshl)] Sqrt[(c + Coshl)/(1 + c)] - Sqrt[1/(1 + c)]]
POSTED BY: Paul Reiser

@Paul Reiser, Welcome to Wolfram Community! Please make sure you know the rules: https://wolfr.am/READ-1ST

The rules explain how to format your code properly. If you do not format code, it may become corrupted and useless to other members. Please EDIT your posts and make sure code blocks start on a new paragraph and look framed and colored like this.

int = Integrate[1/(x^3 - 1), x];
Map[Framed, int, Infinity]

enter image description here

POSTED BY: EDITORIAL BOARD

Try

{r -> -2, c -> 1}
POSTED BY: Michael Rogers
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