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Question: Finding a numerical solution to a system of nonlinear inequalities

Question:Finding a numerical solution to a system of nonlinear inequalities

Cryme 15 Maple
inequality
November 17 2017
1

Hello,

I am facing a problem, I have a system of nonlinear inequalities that has solutions for the sake of the example:
xy-1<0, x>0, y >= 1
Here we can just say that for any 1>x>0, the y for which it is satisfied are 1/x > y >=1, and in that sense it gives a depiction of the set of all (x,y) that satisfies the system. But I would rather like to know one particular solution say x=1/2, y=1 for example. Is there a way to generate a particular solution of such a system without having to write a procedure that tests all x,y with three digits after the comma within a given range?

Thank you
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