IXL - Graph a two-variable linear inequality (Algebra 2 practice)

Graph this inequality:

–

Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Coordinate plane graph with 4 quadrants, x-axis coordinates from -10 to 10, y-axis coordinates from -10 to 10.

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Learn with an example

question

Graph this inequality:

–

Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

key idea

The graph of

–

is a vertical line. Every

x-value

–

The graph of

–

is the region to the right of the line. Since the line is not included, it should be dotted.

solution

Start by graphing the boundary line

–

First plot any two points with

x-values

–

such as

(

–

)

and

(

–

)

Next connect the two points. The inequality uses the symbol

so be sure to draw a dotted line.

Finally, figure out which region to shade. You could remember that when inequalities start with x > or x

≥,

you should shade to the right of the line. Or you could try a test point, such as

(

)

–

Plug in

–

Plug in

The statement is true, so you should shade the region that contains

(

)

Shade the region to the right of the line.

Looking for more? Try these:

Lesson: Linear inequalities

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Teacher tools

Work it out

Not feeling ready yet? These can help:

D.2Graph a linear function

C.1Graph inequalities

Lesson: Linear inequalities

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