Observe the graph:

The number line represents the solution .

Check the options by one by one.

Solve the each absolute inequality.

.

A. .

and

and

and

and .

Solution of the inequality is .

B. .

and

and

and

and .

Solution of the inequality is .

C. .

and

and

and

and

Solution of the inequality is .

D. .

and

and

and

and

Solution of the inequality is .

Solution of the option D is matches with the graph.

Therefore, option D is correct.

Option D is correct.