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MathGroup Archive 2006

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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


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