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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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Algebra 1 Section 7.6 Solve systems of linear inequalities The solution to a system of linear inequalities in two variable is a set of ordered pairs making.

Algebra 1 Section 7.6 Solve systems of linear inequalities The solution to a system of linear inequalities in two variable is a set of ordered pairs making.

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