Question

Write an absolute value equation to satisfy the given solution set shown on a number line.

Answer 1

The absolute value equation with the wanted solutions is:

|x| - 1/2 = 0

How to find the absolute value equation?

Here we want to find an absolute value equation such that the solutions are:

x = -1/2 and x = 1/2.

Remember that the absolute value equation always changes the sign, such that the outcome is positive.

This means that:

|1/2| = 1/2

|-1/2| = 1/2

Then a trivial equation with these two solutions is:

|x| - 1/2 = 0

Where the two solutions are x = 1/2 and x = -1/2.

If you want to learn more about absolute value equations:

brainly.com/question/5012769

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