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MathGroup Archive 2006

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RE: Inequalities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69694] RE: [mg69660] Inequalities
  • From: "David Park" <djmp at earthlink.net>
  • Date: Thu, 21 Sep 2006 07:29:16 -0400 (EDT)

Use the standard package...

Needs["Algebra`InequalitySolve`"]

InequalitySolve[p*(1 - p) < q*(1 - q) && 
   0 < p < q < 1, {p, q}]

0 < p < 1/2 && p < q < 1 - p

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/ 


From: misha [mailto:iamisha1 at comcast.net]
To: mathgroup at smc.vnet.net


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!



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