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The temperature inside your mother’s deep freezer is set for –2°F. The manufacturer guarantees the actual temperature will fall within 4°F of the temperature to which freezer is set. Write an inequality that can be used to describe this situation.

User Ptpaterson
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Answer:

-6°F ≤ T ≤ 2°F

Explanation:

basically

add 4 to -2 to get 2

add -4 to -2 to get -6

Let "T" be the actual temperature inside the deep freezer.

According to the problem, the temperature is set to -2°F, so we have:

Set temperature = -2°F

The manufacturer guarantees that the actual temperature will fall within 4°F of the set temperature. This means that the actual temperature could be as low as 4 degrees below the set temperature (-2°F - 4°F = -6°F) or as high as 4 degrees above the set temperature (-2°F + 4°F = 2°F).

Therefore, the inequality that can be used to describe this situation is:

-6°F ≤ T ≤ 2°F

This inequality indicates that the actual temperature "T" must be greater than or equal to -6°F and less than or equal to 2°F in order to satisfy the manufacturer's guarantee.

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User BilalAlam
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