Systems of Linear Inequalities
Overview
Goal. Solve a system of linear inequalities by graphing each one — correct boundary line, correct side — and reading the solution as the overlapping region where both shadings hold at once.
Solution of a system of linear inequalities (definition). An ordered pair that makes BOTH inequalities true. On the graph, it is any point in the overlapping shaded region, including points on a solid boundary that satisfies the other inequality.
Lesson Notes
Flip through the notes one page at a time using the buttons below.
Lesson Video
Watch the lesson video.
Interactive Activity
Goal. Solve a system of linear inequalities by graphing each one — correct boundary line, correct side — and reading the solution as the overlapping region where both shadings hold at once.
Solution of a system of linear inequalities (definition). An ordered pair that makes BOTH inequalities true. On the graph, it is any point in the overlapping shaded region, including points on a solid boundary that satisfies the other inequality.