SOLUTION: According to the Old Farmers Almanac, the hours of daylight in Fairbanks, Alaska range from approximately 3.5 hours in mid-December to approximately 21 hours in mid-June. Write an

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Question 334394: According to the Old Farmers Almanac, the hours of daylight in Fairbanks, Alaska range from approximately 3.5 hours in mid-December to approximately 21 hours in mid-June. Write an absolute value inequality that represents the hours of daylight in Fairbanks.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Absolute Value Inequalities are on the form:
|x| < a
From the question we have the inequality:
3.5 ≤ x ≤ 21
We must transform this, and the first step is to get the same abs value on each side. We can do this by subtracting (21 + 3.5) / 2 = 12.25 from each side:
(3.5 - 12.25) ≤ (x - 12.25) ≤ (21 - 12.25)
-8.75 ≤ (x - 12.25) ≤ 8.75
|x - 12.25| ≤ 8.75