Re: Inequalities

*To*: mathgroup at smc.vnet.net*Subject*: [mg69696] Re: Inequalities*From*: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>*Date*: Thu, 21 Sep 2006 07:29:20 -0400 (EDT)*Organization*: The Open University, Milton Keynes, UK*References*: <eeqpop$oe3$1@smc.vnet.net>

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! > *Reduce* is what you need [1]: Reduce[p*(1 - p) < q*(1 - q) && 0 < p < q < 1, {p, q}] Regards, Jean-Marc [1] http://documents.wolfram.com/mathematica/functions/Reduce