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. |x|≤0This inequality has an absolute value which means that the distance between x and 0 is less than or equal to 0 in the positive and negative direction. |x|≤0 ⇔ x≤ 0 x≥ -0 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.