IXL | Solve and graph one-step multiplication and division inequalities with positive numbers

Solve for

≤

Write the solution as an inequality (for example,

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

Solve for

Write the solution as an inequality (for example,

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.

When graphing an inequality on a number line, you need to choose between using a filled-in circle or an open circle.

Use a filled-in circle when an inequality shows ≤ or ≥. For example, this number line shows

≥

Use an open circle when an inequality shows < or >. For example, this number line shows

Use inverse operations to solve for

Since this inequality includes multiplying by

you should divide by 1 on both sides to find the solution.

Now, graph the solution on the number line. The inequality

means that

can be any number less than 10, but it cannot be equal to 10.

So, draw an open circle on 10. Then, draw an arrow pointing toward the numbers less than 10, which are to the left.

Looking for more? Try these:

$Confetti$

Now entering the Challenge Zone—are you ready?

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Teacher tools

Work it out

Not feeling ready yet? These can help: