# Graph System of Inequalities

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

Related Topics:

Common Core
(Algebra)

Common Core
for Mathematics

## Linear Inequalities in Two Variables

Linear Inequalities in Two Variables.

Ex 1: Graphing Linear Inequalities in Two Variables (Slope Intercept
Form)

This video explains how to graph a linear inequality in slope
intercept form.

Ex 2: Graphing Linear Inequalities in Two Variables (Standard Form)

This video explains 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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