Graphs of Linear Inequalities

Graphs of Linear Inequalities - original inequality true 2...

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Graphs of Linear Inequalities linear inequality  is a sentence in one of the following forms: class="plain">  •    Ax  +  By  <  C   •    Ax  +  By  >  C   •    Ax  +  By  ≤  C   •    Ax + By  ≥  C   To graph such sentences  1. Graph the linear equation  Ax + By = C.   This line becomes a boundary line for the  graph. If the original inequality is < or >, the boundary line is drawn as a dashed line, since  the points on the line do not make the original sentence true. If the original inequality is ≤ or  ≥, the boundary line is drawn as a solid line, since the points on the line will make the 
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Unformatted text preview: original inequality true. 2. Select a point not on the boundary line and substitute its x and y values into the original inequality. 3. Shade the appropriate area. If the resulting sentence is true, then shade the region where that test point is located, indicating that all the points on that side of the boundary line will make the original sentence true. If the resulting sentence is false, then shade the region on the side of the boundary line opposite that where the test point is located....
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