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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>




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