Answer:
∣x - 1∣ ≤ 3
Step-by-step explanation:
The graph on the given number line represents the solution to an absolute value inequality.
There are closed circles at x = -2 and x = 4, which indicate that these values are included in the solution set. The shaded region between them represents all the values of x that satisfy the given inequality, so the solution set is -2 ≤ x ≤ 4.
The vertical line above x = 1 with horizontal lines extending 3 units to the left and right from it indicates that the solution set includes all values of x that are within 3 units of 1.
Therefore, the absolute value inequality that is represented by the graph on the number line is:
[tex]\Large\boxed{\boxed{|x - 1| \leq 3}}[/tex]
