IXL | Write and graph inequalities: word problems

The Happy Pup Pet Shop sells homemade dog biscuits. Leon is buying 25 biscuits for his dogs. The bacon biscuits are expensive, so he gets fewer than 9 of those and peanut butter biscuits for the rest.

Let b represent the number of bacon biscuits Leon might get. Which inequality models the story?

Graph the inequality that models the story.

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

Aaliyah is making a bracelet and a necklace to give to her friend. She adds 8 charms to the bracelet. Aaliyah plans to put at least as many charms on the necklace as the bracelet.

Let n represent the number of charms Aaliyah might add to the necklace. Which inequality models the story?

≥

≤

Graph the inequality that models the story.

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

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

solution

The variable n represents the number of charms Aaliyah might add to the necklace. Aaliyah adds 8 charms to the bracelet. She plans to put at least as many charms on the necklace as the bracelet. So, n must be greater than or equal to 8.

This inequality models the story.

≥

Now, graph the inequality. Since n can equal 8, draw a closed circle on 8. Since n can also be greater than 8, draw an arrow pointing to the numbers greater than 8, which are to the right.

Looking for more? Try these:

Lesson: Inequalities on a number line

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BB.2Graph inequalities on number lines

Lesson: Inequalities on a number line

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