Solution set

In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities. 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 (evaluate to 0), formally The feasible region of a constrained optimization problem is the solution set of the constraints. 1. The solution set of the single equation x = 0 {displaystyle x=0} is the set  {0}. 2. For any non-zero polynomial f {displaystyle f} over the complex numbers in one variable, the solution set is made up of finitely many points.