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MathGroup Archive 2006

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Re: Inequalities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69692] Re: Inequalities
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Thu, 21 Sep 2006 07:29:13 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <eeqpop$oe3$1@smc.vnet.net>

In article <eeqpop$oe3$1 at smc.vnet.net>, misha <iamisha1 at comcast.net> 
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.

Use Reduce:

  Reduce[{p (1 - p) < q (1 - q), 0 < p < q < 1}]

Cheers,
Paul

_______________________________________________________________________
Paul Abbott                                      Phone:  61 8 6488 2734
School of Physics, M013                            Fax: +61 8 6488 1014
The University of Western Australia         (CRICOS Provider No 00126G)    
AUSTRALIA                               http://physics.uwa.edu.au/~paul


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