Notes 2.4 Graph systems of linear inequalities.notebook
September 17, 2014
Notes 2.4 Graph systems of linear inequalities.notebook
Notes 2.4
Graph the given linear inequalities.
y = ­2x + 1 [start as though you are graphing this]
y > 1/3x + 2
y > ­2x + 1
September 17, 2014
Notes 2.4 Graph systems of linear inequalities.notebook
September 17, 2014
Now let's look at a SYSTEM of inequalities.
y > 2x + 5
y < -4
Step 1: Make sure inequalites in a form
you can graph. (y = mx + b)
Step 2: Plot points, draw line.
< or > is (- - -)
)
< or > is (
Step 3: Shade.
Step 4: Repeat 1-3 for 2nd inequality.
Step 5: Overlap is answer.
Notes 2.4 Graph systems of linear inequalities.notebook
Try again:
x + y > 4
-3x + y < 1
September 17, 2014
Notes 2.4 Graph systems of linear inequalities.notebook
3x-4y<8 and 6x-8y>-16
September 17, 2014
Notes 2.4 Graph systems of linear inequalities.notebook
The process is the same if you have 3 inequalities.
y > (1/2)x ­ 4
y ≤ ­x + 3
y ≤ 2x
September 17, 2014
Notes 2.4 Graph systems of linear inequalities.notebook
September 17, 2014
Match the system of inequalities to it's graph...
1.
2.
3.
A. x+y<4
x+y>-2
B. x+2y<4
-2x+y>-2
C. x+y>-2
-2x+y>-2