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 xcd where c and d are some numbers to satisfy the given solution set class=

Respuesta :

An absolute value that can represent the solution set is: |x - 2|=4

From the number line, we have the domain of the x values to be:

x = -4 to 6

This means that the least x value is -4, and the largest is 6

The absolute value equation is given as:

|x - c|=d

Assume that d = 4.

So, we have:

|x - c|=4

Assume that c is 2.

So, we have:

|x - 2|=4

When solved, we have:

x = -2 or x = 6

-2 and 6 are within the domain of the number line.

Hence, an absolute value that can represent the solution set is: |x - 2|=4

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