Question

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.

Answer 1

|b+6|=2

Explanation:

Answer 2

The absolute value equation with these solutions is |x - 1| = 5.

How to find the absolute value equation?

We want to find an equation of the form:

|x - c| = d

Such that the solutions of this equation are x = -4 and x = 6.

Then we can set up two equations:

|-4 - c| = d

|6 - c| = d

This means that c must be right between the two numbers, so:

c = (6 -4)/2 = 1

Then we have:

|-4 - 1| = d

|6 - 1| = d

Then we can see that:

|-5| = d

|5| = d

d = 5

The equation is:

|x - 1| = 5