Sec. 13.7
- Graphing Systems of Inequalities
Target: We will learn to solve systems of inequalities by graphing
Svstem of Linear Ineoualities: two or nrore linear ineoualities in the
same variables
Solution ofa Slrstem ofLinear Inequalities: an ordered pair that
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Graphing a System ofLinear Inequalities:
Step 1
Graph each linear inequality on the same
coordinate plane. First graph the boundary
line for each inequality fuse a
Eo\id.
line for < or > and a
line for < or
>J. Then test a point nof on the boundary line
to see which side to shade on. If the point is a
solution, then shade on the side containing the
point. If the point is not a solution, then shade
ofthe side not containing the point.
Step 2
Identifiz the region that
is
Shade-d
to all
the graphs ofthe inequalities. This region is the
graph of the system. Any point contained in
this region is a
to the system.
Solve each system of inequalities by graphing.
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