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Question about Equations: Absolute Value

Math

Originais Teachy

Equations: Absolute Value

Medium

(Originais Teachy 2023) - Question Medium of Math

Considering a car trip where the distance between two cities is given by the modular equation |x - 5| = 12. The value of x represents the total distance traveled in kilometers and the number 5 represents an intermediate city on the route. What is the minimum value and the maximum value that x can assume to represent the total distance traveled on this trip?
a.
The minimum value that x can assume is -7 and the maximum value that x can assume is 17.
b.
The minimum value that x can assume is -5 and the maximum value that x can assume is 12
c.
The minimum value that x can assume is 0 and the maximum value that x can assume is 17
d.
The minimum value that x can assume is -7 and the maximum value that x can assume is 12
e.
The minimum value that x can assume is 5 and the maximum value that x can assume is 17.

Answer sheet:

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