1. Graphing Inequality Systems
Connections - Tuesday, November 16
Unit D.9
Graphing Inequality Systems
Students will be able to graph systems of inequalities in order to solve them.
Unit D.9 - Graphing Systems of Inequalities

2. Systems of Linear Inequalities
A system of linear inequalities is a set of two or more linear inequalities with the same variables.
The solution to a system of inequalities is often an infinite set of points that can be represented graphically by shading.
When you graph multiple inequalities on the same graph, the region where the shadings overlap is the solution region.
FHS
Systems of Equations

3. Graphing Systems of Inequalities
Solve this system of inequalities:
For graph a dashed boundary line and
shade below it.
FHS
Systems of Equations

4. Graphing Systems of Inequalities
Solve this system of inequalities:
For graph a solid boundary line
and
shade above it.
The overlapping region
is the solution
of the system.
FHS
Systems of Equations

5. Writing the Inequalities
Write a system of inequalities for the given graph.
The equation for this boundary line would be
Since the area is shaded below the line, (0, 0) must be a solution. Thus, the inequality would be
First equation of system
FHS
Systems of Equations

6. Writing the Inequalities
Write a system of inequalities for the given graph.
The equation for this boundary line would be
Since the area is shaded below the line, (0, 0) is not a solution. Thus, the inequality would be
Second equation of system
FHS
Systems of Equations

7. Writing the Inequalities
Write a system of inequalities for the given graph.
The equation for this boundary line would be
Since the area is shaded above the line, (0, 0) is not a solution. Thus, the inequality would be
First equation of system
FHS
Systems of Equations

8. Writing the Inequalities
Write a system of inequalities for the given graph.
The equation for this boundary line would be
Since the area is shaded to the right of the line, (0, 0) is a solution. Thus, the inequality would be
Second equation of system
FHS
Systems of Equations