IXL | Graph compound inequalities

Graph the compound inequality.

≥

and

Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of a segment, ray, or line to delete it.

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question

Graph the compound inequality.

and

Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of a segment, ray, or line to delete it.

key idea

If a compound inequality can be written with the variable between two values, like

then its graph looks like a line segment with those two values as its endpoints.

If a compound inequality is written as two inequalities joined with

or,

then its graph looks like two rays with those two values as their endpoints.

solution

Start by graphing

on one number line and

on another.

Graph

Since the compound inequality used the word

and,

graph their intersection. This line segment represents the values of

that are greater than 5 and less than 9.

Here is another way to graph the same compound inequality. Notice that

and

can also be written as

because both compound inequalities describe values of

that are greater than 5 and less than 9.

Since

is written with the variable between two values, the graph looks like a line segment with those two values as its endpoints.

Looking for more? Try this:

Lesson: Compound inequalities

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BB.2Graph inequalities on number lines

Lesson: Compound inequalities

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