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MathGroup Archive 2001

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How Do I Solve This System of 6 Inequalities?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30222] How Do I Solve This System of 6 Inequalities?
  • From: Mentor <lennie at hello.net>
  • Date: Thu, 2 Aug 2001 03:16:15 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

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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