In this section, students work with inequalities that have two variables. They begin by considering what it means to be a solution of an inequality of this type, and then recognize that, on a graph, the solutions occupy a region bounded by a linear equation related to the original inequality. This understanding is used to graph solution regions for 2-variable...

In this section, students solve linear inequalities in one variable. They begin by writing constraints for situations as inequalities, and then solve them by writing equivalent inequalities and reasoning about quantities. They finish the section by examining inequalities for constraints that are implied by the context, such as requiring variables to be positive.

Much of the work of this section...

This section expands the exploration of inequalities to include systems. Students begin by interpreting solutions to systems of inequalities as values that satisfy all the constraints simultaneously. Then, they graph the inequalities to visualize a solution region for the systems as the overlapping portions of the solution regions for the individual inequalities. In the optional last lesson of the unit,...