7. Systems of Linear Inequalities
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Consider the graph of the two inequalities in one coordinate plane.
See solution.
To graph a system of inequalities, we have to graph each of them separately in the same coordinate plane. If we graph the inequalities in different colors, the area where the shaded regions overlap are the common solutions to the system of inequalities.
Here is what we are going to do.
We can follow with Step 1. We need to remember that one of the lines will be dashed, line y=- x+2.
x= 0, y= 0
Zero Property of Multiplication
Identity Property of Addition
The area where the shaded regions overlap represents the common solutions to our system of inequalities.