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? >