Solving Systems of Inequalities by Graphing

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Solving Systems of Inequalities by Graphing Chapter 3.3

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

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

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

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