Name ______________________________________________________ Date ____________ Color _________
Algebra I
Ms. Hahl
Graphing Inequalities
When we solved and graphed inequalities with only one variable (ex: x > 3), we moved on to compound
inequalities (AND/OR). We would graph both inequalities on the same number line and decide what to keep based on
whether it was an AND or an OR problem. When we graphed linear equations on the coordinate plane we moved on to
solving systems of equations graphically.
When we graph inequalities in two variables on the coordinate plane, we do not graph compound inequalities.
We move on to solving systems of inequalities. It takes a little from both inequalities with one variable and solving
systems graphically.
To Graph the Inequality:
Step 1: Graph the line.
Step 2: Test a point one up from the y-intercept
and one down from the y-intercept:
Step 3: Shade towards the “true” point (0,4)
When you “test”, you must do it in the original equation!
Examples:
1)
2)
3)
4
5)
6)
Extra Examples:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
Name ______________________________________________ Date _____________ Color ______________
Algebra I
(Graphing Inequalities)
Ms. Hahl
Graphing Equations
Do Now:
Directions: Graph the following Linear Equations on the provided grid.
1)
2)
Name ______________________________________________ Date _____________ Color ______________
Algebra I
Ms. Hahl
Graphing Inequalities Homework
Directions: Graph the following Inequalities on the provided grid.
1)
Test Points:
2)
3)
Test Points:
Test Points:
4)
Test Points:
5)
Test Points:
6)
Test Points:
Name __________________________________________________ Date _____________ Color
______________
Algebra I
Ms. Hahl
Graphing Inequalities Homework
Directions: Graph the following Inequalities on the provided grid.
1)
Test Points:
2)
Test Points:
3)
Test Points:
Name __________________________________________________ Date _____________ Color
______________
Algebra I
Ms. Hahl
Graphing Inequalities Homework
Directions: Graph the following Inequalities on the provided grid.
1)
2)
3)
Test Points:
Test Points:
Test Points:
4)
Test Points:
5)
Test Points:
6)
Test Points:
Name __________________________________________________________ Date __________ Color _______
Algebra I
Ms. Hahl
Graphing Systems of Inequalities
Solve the system of inequalities graphically:
Step 1: Graph the 1st inequality (graph
and test a point one up from the y-int
and one down from the y-int):
Step 2: Graph the 2nd inequality (graph the line and test the line
a point one up from the y-int and one down from
the y-int):
Step 3: Label the area where the shading intersects with an “S”(for Solution)
Directions: Solve the system of inequalities graphically
2)
3)
4)
5)
Extra Examples:
1)
2)
3)
4)
5)