Re: How can I evaluate this statement?

*To*: mathgroup at smc.vnet.net*Subject*: [mg89933] Re: How can I evaluate this statement?*From*: dh <dh at metrohm.ch>*Date*: Wed, 25 Jun 2008 06:22:18 -0400 (EDT)*References*: <g3q7n2$akf$1@smc.vnet.net>

Hi, your statement is not true, simply take a=1 and b=-2. You may fix it by: a>b>0. This can be proven by: Resolve[ ForAll[{a,b},Implies[ a>b >0, a^2>b^2 ]] ] hope this helps, Daniel pircdefense wrote: > I'm trying to show for all real numbers whether the following statement is true or false: > > If a > b, then a^2 > b^2. I've tried various syntax and configurations in Mathematica, but I can't get it to report true or false. Can anyone offer a solution? > -- Daniel Huber Metrohm Ltd. Oberdorfstr. 68 CH-9100 Herisau Tel. +41 71 353 8585, Fax +41 71 353 8907 E-Mail:<mailto:dh at metrohm.com> Internet:<http://www.metrohm.com>