The absolute value equation that satisfies the solution set shown on the number line is given by:
|x| = 1/2
What is the absolute value function?
The absolute value function is defined by:
[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance from a point x to the origin at x = 0. In this problem, the solution set has a distance to the origin of [tex]\frac{1}{2}[/tex], as |-0.5 - 0| = |0.5 - 0| = 0.5, hence the equation is:
|x| = 1/2
More can be learned about the absolute value function at https://brainly.com/question/24734454
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