The absolute value equation that represents the minimum and maximum heights is mathematically given as
|x-65| ≤ 10.
It is a certainty that the person with the smallest stature in a class measures 55 inches, while the one with the highest stature measures 75 inches.
Generally, the equation for the midpoint of maximum and minimum value is mathematically given as
midpoint = (max + min)/2
midpoint =(75+55)/2
midpoint = 130/2
midpoint =65
The difference between the extremes and the middle point is that
d=(max-min) /2
d= (75-55)/2
d = 20/2
d= 10
The equation for absolute value is as follows:
|x-midpoint| ≤ Difference.
|x-65| ≤ 10.
In conclusion, As a result, the needed equation for an absolute value, which depicts the lowest and highest possible heights, is
|x-65| ≤ 10.
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