In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities.
For example, for a set of polynomials over a ring, the solution set is the subset of on which the polynomials all vanish (evaluate to 0), formally
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“Any solution to a problem changes the problem.”
—R.W. (Richard William)
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—Borden Chase [Frank Fowler] (1900–1971)