Editing Solution set (section)

{{Short description|Set of values which satisfy a given set of equations}}
{{More sources needed|date=January 2011}}

In [[mathematics]], the '''solution set''' of a [[system of equations]] or [[Inequality (mathematics)|inequality]] is the [[set (mathematics)|set]] of all its solutions, that is the values that satisfy all equations and inequalities.<ref>{{Cite web |title=Definition of SOLUTION SET |url=https://www.merriam-webster.com/dictionary/solution+set |access-date=2024-08-14 |website=www.merriam-webster.com |language=en}}</ref> Also, the solution set or the '''truth set''' of a statement or a [[Predicate (mathematical logic)|predicate]] is the set of all values that satisfy it. 

If there is no solution, the solution set is the [[empty set]].<ref>{{Cite web |title=Systems of Linear Equations |url=https://textbooks.math.gatech.edu/ila/systems-of-eqns.html |access-date=2024-08-14 |website=textbooks.math.gatech.edu}}</ref>