Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Exercises from Illustrative Mathematics A set of 2 exercises, commentary, and solutions

Students recognize and identify solutions to two-variable inequalities. They represent the solution set graphically. They create two variable inequalities to represent a situation. Students understand that a half-plane bounded by the line ax + by = c is a visual representation of the solution set to a linear inequality such as ax + by < c. They interpret the inequality symbol correctly to determine which portion of the coordinate plane is shaded to represent the solution.

Teacher and Student versions of full lesson from engageNY