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Hello Mathematica-Users Is there a possibility to solve a set of (linear) equations and to find a solution that satisfies certain strict inequalities (e.g. x<y) AND non-strict inequalities (e.g. x<=z)? Is there a possibility to solve an optimization-problem with strict AND non-strict inequalities? If you know about Farkas' "alternativ theorems" - in German we call it "Alternativsitze" - you'll know that it's necessary to attend the strictness. "ConstrainedMin/Max" unfortunately doesn't work to my contentedness. (I need s.th. like ConstrainedMin/Max that doesn't ignore the strictness of inequalities). In using "SemialgebraicComponents" (in packet Algebra`AlgebraicInequalities`) I can only give strict inequalities - constraints of the form (x<=z) are not possible here. With "InequalitySolve" (in packet Algebra`InequalitySolve`) I can't solve optimization-problems. best regards, Joerg Mueller.