To represent the inequality
-
Endpoints:
- Plot a closed dot at
to indicate that is included in the solution (since the inequality is less than or equal to). - There is no endpoint on the left side because
can take values all the way to negative infinity.
- Plot a closed dot at
-
Changing an Endpoint:
- Since the only endpoint is at
and it is already closed (indicating that is included), you would not change this to open, as that would misrepresent the inequality.
- Since the only endpoint is at
-
Deleting the Middle:
- Since the left side extends to negative infinity, we don’t specifically delete any segment, ray, or line on the left. However, if you were to visually represent this section of the number line, you can simply show the line extending leftward from
without marking any endpoint. If you're specifically asked to delete the middle beyond (on the left), you would just indicate that there are no bounds.
- Since the left side extends to negative infinity, we don’t specifically delete any segment, ray, or line on the left. However, if you were to visually represent this section of the number line, you can simply show the line extending leftward from
Here's a general representation of how you could go about plotting this:
- Closed dot on
: ● - Ray extending infinitely to the left: ←
Thus, the number line would visually look like this:
<------●==============================>
59
(Where the closed dot represents the inclusion of