Answer:
f ∈ {-17/6, 5/2}
Explanation:
You want the solution to the equation |3f +0.5| -1 = 7.
Solution
Add 1 to get ...
|3f +0.5| = 8
This resolves to two equations:
3f +0.5 = -8
3f = -17/2 . . . . . . . subtract 1/2
f = -17/6 . . . . . . . divide by 3
and ...
3f +0.5 = 8
3f = 15/2 . . . . . . . subtract 1/2
f = 5/2 . . . . . . . . divide by 3
The solutions are f = -17/6 and f = 5/2.
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