A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from -15°F to 45°F. Let t represent the temperature for which the coat is intended.

What is your question?

I understand the question is quite old by now, but seeing as I came across this question confused myself, came up empty and this is one of the top results on Google, figured it was worth posting an answer to. This is looking for an absolute value inequality to represent it - which would come out to be:

|t - 15| ≤ 30

The coat is recommended for outdoor temperatures from -15°F to 45°F. In this case, the range of temperatures for which the coat is intended can be represented as:

-15°F ≤ t ≤ 45°F

This means that the coat is suitable for temperatures as low as -15°F and as high as 45°F.

To represent the temperature for which the coat is intended, we can use the variable "t". In this case, the coat is recommended for outdoor temperatures from -15°F to 45°F. So we can write the following inequality using "t":

-15°F ≤ t ≤ 45°F

This inequality states that the temperature "t" should be between -15°F and 45°F for the coat to be suitable and comfortable to wear.