IXL | Graph solutions to two-step inequalities

Solve the inequality and graph the solution.

To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

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Learn with an example

question

Solve the inequality and graph the solution.

≤

–

To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

key idea

To solve for a variable, use inverse operations to undo the operations in the inequality. Be sure to do the same operation to both sides of the inequality.

When graphing an inequality, use a filled-in circle to include a number and an open circle to exclude it.

solution

First, solve for

≤

–

≤

Subtract 10 from both sides

–

Subtract 10 from both sides

≤

Divide both sides by 3

–

Divide both sides by 3

Now graph the solution. The inequality

≤

–

means that

can be any number less than or equal to

–

Since

can be equal to

–

there should be a filled-in circle located on

–

Also, since

can be less than

–

there should also be an arrow pointing to the left.

So, this is the graph of

≤

–

Looking for more? Try these:

Lesson: Solving inequalities

Lesson: Inequalities on a number line

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Teacher tools

Work it out

Not feeling ready yet? These can help:

N.5Graph solutions to one-step inequalities

N.6Solve two-step inequalities

Lesson: Solving inequalities

Lesson: Inequalities on a number line

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