# Graph System of Inequalities

Related Topics:
Common Core (Algebra)
Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to 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.

### Suggested Learning Targets

• Graph the solutions to a linear inequality in two variables as a half-plane, excluding the boundary for non-inclusive inequalities.
• Graph the solution set to a system of linear inequalities in two variables as the intersection of their corresponding half-planes.

Common Core: HSA-REI.D.12

### Linear Inequalities in Two Variables

Linear Inequalities in Two Variables.

Ex 1: Graphing Linear Inequalities in Two Variables (Slope Intercept Form)
How to graph a linear inequality in slope intercept form?

Ex 2: Graphing Linear Inequalities in Two Variables (Standard Form)
How to graph a linear inequality in standard form?

Ex: Linear Inequality in Two Variables Application Problem (Phone Cost: Day and Night Minutes) System of Linear Inequalities
This video explains an application problem involving a linear inequality in two variables. It deals with the total cost of day and night minutes when the per minute rate is different.

### System of Linear Inequalities

System of Linear Inequalities.

Ex 1: Graph a System of Linear Inequalities
This video provides an example of how to graph the solution to a system of linear inequalities. The linear inequalities are in slope-intercept form.

Ex 2: Graph a System of Linear Inequalities
This video provides an example of how to graph the solution to a system of linear inequalities. The linear inequalities are in slope-intercept form.

Ex 3: Graph the Feasible Region of a System of Linear Inequalities
This video provides an example of how to graph the feasible region to a system of linear inequalities. The system contains 4 inequalities.

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