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Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 8 weeks.

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Complete question is;

Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 8 weeks.

Which inequality matches the problem?

A) x ≥ 8

B) x = 8

C) x ≤ 8

D) none of the above

Answer:

A: x ≥ 8

Explanation:

Let the number of weeks be x.

She needs to make at least 32 costumes and plans to work at least 8 weeks. Since she makes 4 costumes per week, we can say that;

4x ≥ 32

I used greater than or equal to sign because she can't make less than 32 costumes.

Also, she can't use less than 8 weeks.

Thus; dividing both sides by 4, we have;

4x/4 ≥ 32/4

x ≥ 8

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