IXL | Write and graph inequalities: word problems

Last year, Emma's scout troop sold 504 boxes of cookies. This year, her troop set a goal to sell more boxes than last year.

Let b represent the number of boxes Emma's troop plans to sell this year. Which inequality models the story?

504

≥

504

≤

504

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.

500

501

502

503

504

505

506

507

508

509

510

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Learn with an example

question

Pablo is making a keychain that looks like Earth. He is using 13 green beads and plans to use more blue beads than green beads.

Let b represent the number of blue beads that Pablo might use. 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 b represents the number of blue beads that Pablo might use. He is using 13 green beads and plans to use more blue beads than green beads. So, b must be more than 13.

This inequality models the story.

Now, graph the inequality. Since b cannot equal 13, draw an open circle on 13. Since b can be greater than 13, draw an arrow pointing to the numbers greater than 13, which are to the right.

Looking for more? Try these:

Lesson: Inequalities on a number line

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Teacher tools

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U.2Graph inequalities on number lines

Lesson: Inequalities on a number line

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