Kuta Software - Infinite Algebra 2
Name___________________________________
Graphing Linear Inequalities
Date________________ Period____
Sketch the graph of each linear inequality.
1) yt x
2) y! x
y
x
y
x
x
x
y
4) y! x
3) y
y
x
5) x!
6) y! x
y
x
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-1-
y
Worksheet by Kuta Software LLC
7) x y
8) x yt
y
x
x
x
x
10) x y
y
x
y
11) xd
12) x y
9) x yd
y
y
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) yt x
2) y! x
y
x
y
x
x
x
y
4) y! x
3) y
y
x
5) x!
6) y! x
y
x
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-1-
y
Worksheet by Kuta Software LLC
7) x y
8) x yt
y
x
x
x
x
10) x y
y
x
y
11) xd
12) x y
9) x yd
y
y
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