Answer :
Here we know that a thermometer is accurate to within 0.6°F, and we know that the thermometer gives a lecture of 101.7°F
Then the absolute value equation that describes the range of possible temperatures is given by:
|T - 101.7°F| ≤ 0.3°F
If any measure is accurate within a given amount A, then for any given measure B we will write:
actual measure = X = B ± A/2
And we could write the range of the possible real value of the measure as an absolute value equation as shown below.
|X - B| ≤ A/2
Thus, if the thermometer is accurate within 0.6°F we have:
A = 0.6° F
And we know that the lecture of the temperature is 101.7°F
Then we can write the temperature as:
T = 101.7°F ± (0.6° F)/2
T = 101.7°F ± 0.3° F
Using the above rule for the absolute value, we get:
|T - 101.7°F| ≤ 0.3°F
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