Graph linear inequalities

What you'll learn

1. Graph the solution set of a linear inequality in two variables as a half-plane, using a solid boundary for ≤ or ≥ and a dashed boundary for < or >
2. Determine which half-plane to shade by substituting a test point (typically the origin) and checking whether it satisfies the inequality
3. Write the inequality corresponding to a given shaded half-plane graph
4. Graph the solution set of a system of linear inequalities in two variables as the intersection of the corresponding half-planes
5. Identify whether a given point satisfies a system of linear inequalities by verifying it against each inequality

Prerequisites

• Solve linear equations and inequalities
• Understand graphs of equations