Algebra 1 Graphing Systems of Inequalities 6.6
Goal:
Key Graphing systems of inequalities means that you will be graphing two linear
Information inequalities (we learned to do this last class) and then we’ll identify the overlapping
: solution area of both equations.
Ex 1.
Graph
y £ 3x- 4
1
y> - x+3
2
Follow the steps we learned last class to graph each inequality:
Step 1: Graph as if it’s a linear equality.
Step 2: Decide if the line is dashed or solid.
Step 3: Use a test point to decide which side of the graph to shade.
What
“nickname”
can we give
to each of the
inequalities?
After both are graphed and shaded identify the overlapping shaded region. This is the
solution area of the system.
Identify from the graph if the following points are solutions to the first inequality, the
second inequality, both or neither.
a) (0, 0)
b) (3, -2)
c) (5, 3)
d) (-2, 6)
Ex 2.
Graph
y ³ 2x + 4
-6x - 2y < -18
What
“nickname”
can we give
to each of the
inequalities
Identify from the graph if the following points are solutions to the first inequality, the
second inequality, both or neither.
a) (4, 2)
SUMMARY:
b) (0, 0)
c) (1, 10)
d) (-3, 7)