IXL - Graph solutions to linear inequalities (Algebra 2 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.

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

solution

First, solve for

(

–

)

–

Apply the distributive property

Add 2 to both sides

Divide both sides by 2

Now graph the solution. The inequality

means that

can be any number less than 3.

Since

cannot be equal to 3, there should be an open circle located on 3. Also, since

can be less than 3, there should also be an arrow pointing to the left.

So, this is the graph of

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$Confetti$

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C.3Solve linear inequalities

C.1Graph inequalities

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