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Concept

System of Inequalities

A system of inequalities is a set of two or more inequalities involving the same variables. For example, the set formed by the following two inequalities is a system.
The solution set of a system of inequalities is the set of all ordered pairs that satisfy all the inequalities in the system simultaneously. The ordered pair for example, is a solution to the above system.
Usually, systems of inequalities are solved by graphing each inequality on the same coordinate plane. When the inequalities in a system are graphed, the coordinate plane is divided into different regions. These regions provide an insight into the determination of the solution set. To see what these regions represent for the aforementioned system, move point
Two lines graphed and four regions
Of the regions formed, the overlapping region represents the solution set of the system.
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