Re: How can I evaluate this statement?
- To: mathgroup at smc.vnet.net
- Subject: [mg89929] Re: How can I evaluate this statement?
- From: Szabolcs Horvát <szhorvat at gmail.com>
- Date: Tue, 24 Jun 2008 06:17:26 -0400 (EDT)
- References: <g3q7n2$akf$1@smc.vnet.net>
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?
>
FullSimplify[ForAll[{a, b}, a > b, a^2 > b^2]]
(Using the inequality implies that a and b are reals.)