To determine the inequality that represents the given set of points on a graph, we can analyze the pattern and characteristics of the points.
The points given are:
-10
-5
5
5
10
From these points, we can observe that they are all on the horizontal line at y = 0. This means that the y-values of all the points are equal to 0.
In slope-intercept form, an equation of a horizontal line is y = b, where b is the y-intercept. In this case, the y-intercept is 0.
Therefore, the inequality that represents the graph is:
y ≤ 0
This inequality indicates that the y-values are less than or equal to 0, which aligns with the points lying on the horizontal line at y = 0.
Please note that the inequality can be written as y ≥ 0 as well, since all the points have y-values equal to 0.