Re: Evaluating inequalities

• To: mathgroup at smc.vnet.net
• Subject: [mg131578] Re: Evaluating inequalities
• From: William Rummler <wrummler at wolfram.com>
• Date: Sun, 8 Sep 2013 03:05:34 -0400 (EDT)
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• Delivered-to: l-mathgroup@wolfram.com
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```Hi Sam,

The relation isn't always true given the assumption:

In[1]:= relation = -k^2 + w^2/KK^2 > 0;

In[2]:= assumption = w/k < KK;

In[3]:= counterExample =
FindInstance[assumption && Not@relation, {w, k, KK}]

Out[3]= {{w -> -1, k -> 1, KK -> 1}}

In[4]:= {assumption, relation} /. counterExample

Out[4]= {{True, False}}

hth,
William

----- Original Message -----
> Hi,
>
> Why doesn't this:
>
> Assuming[w/k < KK, -k^2 + w^2/KK^2 > 0] // Simplify
>
> evaluate to False?
>
> Thanks!
>
> Sam
>
>

```

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