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Harry is going to Snowy Ridge Ski Resort tomorrow. The mountain has 24 easy trails and 17 hard trails. Harry plans to ski all of the easy trails. He's not an expert skier, so he only plans to ski some, but not all, of the hard trails.Let h represent the number of hard trails that Harry might ski. Which inequality models the story?

Question

Harry is going to Snowy Ridge Ski Resort tomorrow. The mountain has 24 easy trails and 17 hard trails. Harry plans to ski all of the easy trails. He's not an expert skier, so he only plans to ski some, but not all, of the hard trails.Let h represent the number of hard trails that Harry might ski. Which inequality models the story?

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Solution

The total number of trails that Harry plans to ski is made up of all the easy trails and some of the hard trails. Since he plans to ski all of the easy trails, that's 24 trails. The number of hard trails he might ski is represented by h.

Since Harry is not an expert skier, he won't ski all of the hard trails. That means the number of hard trails he skis, h, will be less than the total number of hard trails, which is 17.

So, the inequality that models this story is:

h < 17

This problem has been solved

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