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**Solving Systems of Inequalities by Graphing**

Chapter 3.3

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**Systems of Inequalities**

To solve a system of inequalities, you must find the ordered pairs that satisfy all of the inequalities in the system Graph all inequalities on the same plane The solution is the intersection of the graphs

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**Example 1 y > 2x - 3 y < -x +2 Graph one inequality at a time**

Lightly shade the appropriate regions Darken the region that has been shaded for both inequalities

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**Example 2 y < -x +1 y < |x +1| Graph one inequality at a time**

Lightly shade the appropriate regions Darken the region that has been shaded for both inequalities

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**Example 3 y > -3/4x + 2 y < -3/4x - 2**

Graph one inequality at a time Lightly shade the appropriate regions Darken the region that has been shaded for both inequalities There is no intersection, therefore there is no solution y < -3/4x - 2

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