The temperature T of a refrigerator is at least 35°F and at most 41°F. Write a compound

inequality and an absolute value inequality for the temperature of the refrigerator.

Respuesta :

The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35  ≤  T ≤  41

A compound inequality has two inequality statements joined together

The the temperature of the inequality is represented by T

The temperature T of a refrigerator is at least 35°F and at most 41°F

This means that the temperature falls between 35°F and 41°F

Since the temperature, T, is at most 41°F

This can be mathematically interpreted as

T  ≤  41

The temperature, T, is at least 35°F

35  ≤  T

Combining the two inequality statements 35  ≤  T and T  ≤  41, the compound statement formed is:

35  ≤  T ≤  41

The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35  ≤  T ≤  41

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