Graph the inequality on a number line. What type of geometric object did you just create?
Geometric Object: Point Graph:
Practice makes perfect
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.
