Systems of algebraic inequalities

A system of algebraic inequalities consists of several inequalities involving the same variables. The solution set is the intersection of the solution sets of each individual inequality.

Important properties

• The solution to the system is the set of all values that satisfy every inequality in the system.

• For one variable, the solution is often an interval or a union of intervals.

• For two variables, the solution is a region in the coordinate plane, often found by graphing each inequality and finding where the shaded regions overlap.