IXL - Graph solutions to compound inequalities (Algebra 1 practice)

Solve for

and graph the solution.

–

≥

–

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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Learn with an example

question

Solve for

and graph the solution.

–

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

Step 1: Solve for the variable

Solve for

–

Add 13 to each part of the inequality

Step 2: Graph the solution

Now graph

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

Draw a line segment to represent the values of

that are greater than 3 and less than 10.

Looking for more? Try these:

Lesson: Compound inequalities

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Teacher tools

Work it out

Not feeling ready yet? These can help:

F.12Graph compound inequalities

F.14Solve compound inequalities

Lesson: Compound inequalities

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