For each of the figures, write an absoulute value equation that has the following solution set.
![For each of the figures write an absoulute value equation that has the following solution set class=](https://us-static.z-dn.net/files/db9/0c4b02c266290932224cd0d493743d2d.png)
The solution set -18 and 0 are the true values of the absolute value equation
The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
From the figure, the solution sets of the absolute value equation are given as:
x = {-18, 0}
Calculate the mean of the solution set
Mean = 0.5 * (-18 + 0)
Mean = -9
Calculate the difference of the solution set divided by 2
Difference = (0 + 18)/2
Difference = 9
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x + 9| = 9
Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
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