Re: Inequalities

*To*: mathgroup at smc.vnet.net*Subject*: [mg69713] Re: [mg69660] Inequalities*From*: Andrzej Kozlowski <akoz at mimuw.edu.pl>*Date*: Thu, 21 Sep 2006 07:30:35 -0400 (EDT)

On 20 Sep 2006, at 15:44, 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! > For example, Simplify[Reduce[{p*(1 - p) < q*(1 - q), 0 < p < q < 1}, {p, q}], {0 < p < q < 1}] p < 1/2 && p + q < 1 Andrzej Kozlowski Tokyo, Japan