Re: Inequalities
- To: mathgroup at smc.vnet.net
- Subject: [mg69713] Re: [mg69660] Inequalities
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Thu, 21 Sep 2006 07:30:35 -0400 (EDT)
On 20 Sep 2006, at 15:44, misha wrote:
> I am an inexperienced user and am wondering whether Mathematica can
> help
> me with inequalities such as the following.
>
> Given 0 < p < q < 1,
>
> When is p(1-p)<q(1-q)?
>
> It should be, if 1 - q > p.
>
> Thanks!
>
For example,
Simplify[Reduce[{p*(1 - p) < q*(1 - q), 0 < p < q < 1},
{p, q}], {0 < p < q < 1}]
p < 1/2 && p + q < 1
Andrzej Kozlowski
Tokyo, Japan