# Finding a boundary of solution for Multivariate(4 variables) inequalities

Posted 1 month ago
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 Hello, I am dealing with multivariate polynomial inequalities, 4 variables in particular. I am trying to find the boundary of the solution for these 4 inequalities using "FindInstance". However, even after running for a day I am not able to get the solution. I have tried to make the boundary more relaxed still i am unable to find the solution. Mathematica doesn't return anything (not even a blank matrix). I am new to Mathematica, are there any other functions I could use to deal with multivariate inequalities?  I have attached a file to demonstrate my problem. Attachments:
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Posted 1 month ago
 If you could edit your post to include your inequalities, or at least similar inequalities that would demonstrate an equivalent problem, and describe what form you need the solution to be in then readers might be able to experiment with this and see if they can find you a solution.Since you describe the boundaries of inequalities, would finding a solution to equalities or subsets of those equalities be close to what you are looking for?
Posted 1 month ago
 Thank you Bill for your suggestion. I have formulated a case and attached with my original post. Hope this would help.My solution would require subsets of those equalities; specifically defined by the surface under variables x2,x3,(x4/x5). Thanks again.