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

Step-by-step explanation:

The number line indicates that the possible values of x fall within the range:

0 ≤ x ≤ 8

We aim to create an absolute value equation to encompass this set of potential solutions.

An example of such an equation is:

IX - 4I ≤ 4

To form this, we find the midpoint M of our set, which is 4 in this case.

Then, we write:

Ix - MI  ≤ IMI

It's important to note my use of the inclusive sign, as the filled dots indicate that the endpoints x = 0 and x = 8 are part of the solution, differing from empty dots which denote an open set requiring <  > signs.