IXL - Graph solutions to two-step linear inequalities (Algebra 1 practice)

Solve the inequality and graph the solution.

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

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question

Solve the inequality and graph the solution.

–

≥

Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line 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 and to reverse the direction of the inequality symbol when multiplying or dividing by a negative number.

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

solution

First, solve for

–

≥

–

≥

Add 6 to both sides

≤

Divide both sides by

–

and reverse the direction of the inequality symbol

–

Divide both sides by

–

and reverse the direction of the inequality symbol

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:

F.7Graph solutions to one-step linear inequalities

F.8Solve two-step linear inequalities

Lesson: Solving inequalities

Lesson: Inequalities on a number line

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