STANDARD A.REI.D.12
AI

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.
Graphing linear equations is a fluency recommendation for Algebra I.  Students become fluent in solving characteristic problems involving the analytic geometry of lines, such as writing down the equation of a line given a point and a slope.  Such fluency can support them in solving less routine mathematical problems involving linearity; as well as modeling linear phenomena (including modeling using systems of linear inequalities in two variables).

Practice-Graphing Linear Inequalities 1

Practice-Graphing Linear Inequalities 2

Practice-Graphing Linear Inequalities 3

Practice-Graphing Linear Inequalities 4