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Solution

Solution
Solution Set

Any and all value(s) of the variable(s) that satisfies an equation, inequality, system of equations, or system of inequalities.

With a system of equations or system of inequalities, the solution set is the set containing value(s) of the variable(s) that satisfy all equations and/or inequalities in the system.

 

Four examples showing solutions: a−4=1 (a=5); a−4≤1 (a=3, set (-∞,5]); system x+y=5, x−y=3 ((4,1)); x+y=5 ((2,3), set y=5−x).

 

See also

Set-builder notation, interval notation, equivalent system of equations, verify a solution