Theabsolute value equation that has a solution set of -4 and -8 is |2 - x| = -6
How to determine the absolute value equation?
The solution sets on the number line are given as:
x = {-8, -4}
Calculate the average of the solutions
Mean = (-8 - 4)/2
Mean = -6
Calculate the difference of the solutions divided by 2
Difference = (-4 + 8)/2
Difference = 2
The absolute value equation is the represented as:
|Difference - x | = Mean
Substitute known values
|2 - x| = -6
Hence, the absolute value equation that has a solution set of -4 and -8 is |2 - x| = -6
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