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