Exercise 54 Page 386

In this exercise, we want to graph the given inequality on a number line and determine whether the graph is a segment, a ray or rays, a point, or a line. First, consider the given inequality. This inequality has an absolute value which means that the distance between $x$ and $0$ is less than or equal to $0$ in the $\text{positive}$ and $\text{negative}$ direction. Note that there is only one number true for both inequalities, $0.$ On a number line, this is graphed with a closed circle at $x=0.$

We can see that the graph is a single point.