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Graphing Linear Inequalities

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
Kuta Software - Infinite Algebra 2
Name___________________________________
Graphing Linear Inequalities
Date________________ Period____
Sketch the graph of each linear inequality.
1) y x

2) y x











      








      




























3) x
4) y x












      






      










6) y x
5) y x












      






      










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-1-
Worksheet by Kuta Software LLC

7)  x y
8) x y












      






      




























10)  x y
9) y












      






      










11)  x y
12) x y












      






      










Critical thinking questions:
13) Name one particular solution to #
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14) Can you write a linear inequality whose solution
contains only points with positive x-values
and positive y-values? Why or why not?
-2-
Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2
Name___________________________________
Graphing Linear Inequalities
Date________________ Period____
Sketch the graph of each linear inequality.
1) y x

2) y x











      








      




























3) x
4) y x












      






      










6) y x
5) y x












      






      










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-1-
Worksheet by Kuta Software LLC

7)  x y
8) x y












      






      




























10)  x y
9) y












      






      










11)  x y
12) x y












      






      










Critical thinking questions:
14) Can you write a linear inequality whose solution
13) Name one particular solution to #
Any point in the shaded region or boundary. Ex: (, ) contains only points with positive x-values
and positive y-values? Why or why not?
No. No line can be in only the 1st quadrant.
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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-2-
Worksheet by Kuta Software LLC
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