       Re: How Do I Solve This System of 6 Inequalities?

• To: mathgroup at smc.vnet.net
• Subject: [mg30239] Re: How Do I Solve This System of 6 Inequalities?
• From: Mentor <lennie at hello.net>
• Date: Fri, 3 Aug 2001 00:56:09 -0400 (EDT)
• References: <9kb110\$c7m\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Well,

I solved the system by hand. It is incompatible.

Laurie

On Thu, 2 Aug 2001 07:55:12 +0000 (UTC), Mentor <lennie at hello.net>
wrote:

>How do I solve these 6 nonlinear inequalities
>w.r.t. x,y,z,w,u,v?
>My guess is that there is no positive solution.
>How do I rely on Mathematica to prove this?
>
>   [{w - x > 0, (z/v)(u - y) < .25, (zx/v) > 1.,
>   ((zw/v)y/((zw/v) - 1.)) - u < 0, x^2 + y^2 - u^2 < 0.,
>    w - Sqrt[15.]u/4. < 0., x > 0., y > 0., z > 0., w > 0., u > 0.,
>    v > 0.}, {x, y, z, w, u, v}]
>
>Thanks a million!
>
>Laurie
>

```

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