High School · Reasoning with Equations and Inequalities

CCSS.MATH.CONTENT.HSA.REI.D.12

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.

Read this standard on the official Common Core site

Lessons that teach this standard

• Graphing Linear Inequalities in Two Variables

  How a linear inequality splits the plane into a half-plane of solutions, when the boundary line is solid and when it is dashed, and how to shade a system of inequalities.

• Linear Programming: Optimizing with Constraints

  Find the best value of a linear objective over a region cut out by linear inequalities, and see why the maximum and minimum always sit at a corner.