For each of the number lines, write an absolute value equation in the form |x - c|=d, where c and d are some numbers, to satisfy the given solution set.

For each of the number lines write an absolute value equation in the form x cd where c and d are some numbers to satisfy the given solution set class=

Respuesta :

The absolute 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 of the absolute value equation are given as:

x = {-8, -4}

Calculate the mean 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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