# 4: Solving Linear Systems

- Page ID
- 18353

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- 4.5: Solving Systems of Linear Inequalities (Two Variables)
- A system of linear inequalities consists of a set of two or more linear inequalities with the same variables. The inequalities define the conditions that are to be considered simultaneously. We know that each inequality in the set contains infinitely many ordered pair solutions defined by a region in a rectangular coordinate plane. When considering two of these inequalities together, the intersection of these sets defines the set of simultaneous ordered pair solutions.