IXL | Write and graph inequalities: word problems

Wyatt is saving up to buy a new bike. He has $135 saved so far. He needs to save at least $115 more to afford a new bike.

Let m represent the amount of money, in dollars, that Wyatt still needs to save. Which inequality models the story?

≥

135

≥

115

≤

135

≤

115

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

Bryan is pet-sitting his neighbor's dog, Scout, this weekend. Bryan bought a box of Scout's favorite treats. His neighbor told Bryan that Scout can have at most 8 treats a day.

Let t represent the number of treats that Scout can have in a day. 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 t represents the number of treats that Scout can have in a day. Since Scout can have at most 8 treats a day, t must be less than or equal to 8.

This inequality models the story.

≤

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

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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