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Suppose that a stove and a freezer together weigh at least 370 pounds. The weight of the stove is 170 pounds. Which inequality correctly describes these conditions for the weight of the freezer?

A. \( f > 200 \)

B. \( f < 200 \)

C. \( f \geq 200 \)

D. \( f \leq 200 \)

Answer :

The correct inequality representing the given conditions is option (d) "f ≤ 200".

This is because the combined weight of the stove and the freezer must be at least 370 pounds, and the weight of the stove is already known to be 170 pounds. This means that the weight of the freezer must be less than or equal to the remaining 200 pounds in order to satisfy the total weight requirement. In other words, the inequality that describes the conditions for the weight of the freezer is "f ≤ 200".

In mathematics, an inequality is a statement involving two values that are not equal.

It can be used to compare two values and determine the relationship between them. In this case, the inequality "f ≤ 200" is used to compare the weight of the freezer to the known weight of the stove, in order to determine the maximum possible weight of the freezer.

Therefore, the correct option is (d).

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Final answer:

The correct inequality that describes the conditions for the weight of the freezer is f ≥ 200.

Explanation:

To represent the weight of the freezer, we can use the variable f. Since the sum of the weight of the stove and the freezer is at least 370 pounds, we can write the inequality f + 170 ≥ 370. To isolate f, we subtract 170 from both sides of the inequality and obtain f ≥ 200. Therefore, the correct inequality that describes the conditions for the weight of the freezer is f ≥ 200.

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