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Re: Inequalities

• To: mathgroup at smc.vnet.net
• Subject: [mg69711] Re: [mg69660] Inequalities
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Thu, 21 Sep 2006 07:30:22 -0400 (EDT)
• Reply-to: hanlonr at cox.net

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

q <= 1/2 || p + q < 1

FullSimplify[p (1-p) < q (1 - q), 0 < p < q < 1]

p+q<1


Bob Hanlon

---- 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.
> 
> Thanks!
> 

--

Bob Hanlon
hanlonr at cox.net