Re: Inequalities
- To: mathgroup at smc.vnet.net
- Subject: [mg69696] Re: Inequalities
- From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
- Date: Thu, 21 Sep 2006 07:29:20 -0400 (EDT)
- Organization: The Open University, Milton Keynes, UK
- References: <eeqpop$oe3$1@smc.vnet.net>
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!
>
*Reduce* is what you need [1]:
Reduce[p*(1 - p) < q*(1 - q) && 0 < p < q < 1, {p, q}]
Regards,
Jean-Marc
[1] http://documents.wolfram.com/mathematica/functions/Reduce