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Graphing a System of Inequalities

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Presentation on theme: "Graphing a System of Inequalities"— Presentation transcript:

1 Graphing a System of Inequalities

2 System of Inequalities
The Solution region is where the shadings overlap. For instance the following point is in the solution region because it satisfies both inequalities: 0 ≤ 5 True (0,0) 0 > -1 True Points are solutions to this system if they make both inequalities true.

3 System of Inequalities
Graph the solution region of the system of inequalities. Plot each inequality individually. Find out which side to shade for each inequality. (0,0) (0,1) 0 ≥ 1 1 < 0 False False Find where the shadings overlap.

4 System of Inequalities
Graph the solution region of the system of inequalities. Plot each inequality individually. Find out which side to shade for each inequality. (0,0) (0,0) 0 < 3 0 ≤ 4 True True Find where the shadings overlap.

5 System of Inequalities
Graph the solution region of the system of inequalities. Plot each inequality individually. Find out which side to shade for each inequality. (0,0) (0,0) 0 ≤ 4 0 ≥ 4 True False Find where the shadings overlap.

6 System of Inequalities
Graph the solution region of the system of inequalities. Plot each inequality individually. Find out which side to shade for each inequality. (0,0) (0,1) 0 ≥ 3 1 ≤ 0 NO SOLUTION False False Find where the shadings overlap.


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