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In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities.

For example, for a set { f i } {\displaystyle \{f_{i}\}} of polynomials over a ring R {\displaystyle R} ,the solution set is the subset of R {\displaystyle R} on which the polynomials all vanish , formally

The feasible region of a constrained optimization problem is the solution set of the constraints.

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