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Answer:
minimum temp: 278 degrees. Maximum temp: 292 degrees
Step-by-step explanation:
First, what goes in the absolute value? It is the difference between 285 and the actual temperature, because this needs to be no larger than 7. Your starting equation will look like this.
You then have to split this into 2 different equations.
and
The reason the second one is flipped an negative is because for it to be no more than 7 degrees below, the difference will need to be closer to zero, which means greater than -7.
Now you simply solve your 2 separate equations.
Starting with the first one:
And the second equation: