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Re: How can I evaluate this statement?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg89956] Re: [mg89895] How can I evaluate this statement?
*From*: Bob Hanlon <hanlonr at cox.net>
*Date*: Wed, 25 Jun 2008 06:26:38 -0400 (EDT)
*Reply-to*: hanlonr at cox.net
In general, it is neither True nor False
{a > b, a^2 > b^2} /. {a -> 2, b -> 1}
{True,True}
{a > b, a^2 > b^2} /. {a -> 2, b -> -3}
{True,False}
Simplify[Reduce[{a > b, a^2 > b^2, Element[{a, b}, Reals]}], a > b]
b > 0 || a + b > 0
Bob Hanlon
---- pircdefense <gregthaopenny at gvtc.com> 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?
>
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