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Graphing Systems of Linear Inequalities

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1 Graphing Systems of Linear Inequalities
It is assumed you already know how to graph a linear inequality, which was discussed in a previous module. Graphing a system of linear inequalities means to graph two or more inequalities.

2 To solve a system of linear inequalities:
1) Graph each inequality in the system, shading each with a different pattern. 2) Determine the intersection of the graphs. It is the solution of the system.

3 Example 1 Solve: Graph the first inequality.

4

5 Graph the second inequality.

6 The solution to the system is the part where the two graphs overlap, including the lower part of the blue line.

7 Click to rerun the slideshow.
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