Practice

Write an inequality representing each of the situations below.

1. Victor plans to walk at least 30 miles in a charity walk-a-thon. He has walked 12 miles so far. Write an inequality to determine how many more miles must Victor walk in order to meet his goal.

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   Is the limit an upper limit or a lower limit? Can the limit be a part of the set of possible values that makes the situation true?
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   12 + x ≥ 30
2. 12 more than a number is at most 30. Write an inequality to determine the number.

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   Is the limit an upper limit or a lower limit? Can the limit be a part of the set of possible values that makes the situation true?
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   12 + x ≤ 30
3. Roxanne spent $30 on a shirt at the mall and had no more than $12 left over. Write an inequality to determine the amount of money Roxanne took to the mall.

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   Is the limit an upper limit or a lower limit? Can the limit be a part of the set of possible values that makes the situation true?
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   x – 30 ≤ 12
4. Yvonne earned $12 per hour babysitting last weekend. She worked no less than 30 hours. Write an inequality to determine the amount of money Yvonne earned last weekend.

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   Is the limit an upper limit or a lower limit? Can the limit be a part of the set of possible values that makes the situation true?
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   Check Your Answer

   12x ≥ 30