To plot the integers [tex]$-8$[/tex], [tex]$-4$[/tex], and [tex]$11$[/tex] on a number line, follow these steps:
1. Draw the number line: Start by drawing a horizontal line and marking a series of evenly spaced points on it. These points represent integers.
2. Determine the range: Identify the smallest and largest integers you need to plot. Here, the smallest is [tex]$-8$[/tex] and the largest is [tex]$11$[/tex].
3. Labeling the points: Label the points on the number line from at least [tex]$-8$[/tex] to [tex]$11$[/tex]. Make sure each integer is evenly spaced and includes all integers in between.
4. Plot each integer:
- Locate and mark the point [tex]$-8$[/tex] on the number line.
- Locate and mark the point [tex]$-4$[/tex] on the number line.
- Locate and mark the point [tex]$11$[/tex] on the number line.
Graphically, it should look something like this:
```
<--|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
```
On this number line:
- The point [tex]$-8$[/tex] will be near the far left.
- The point [tex]$-4$[/tex] will be to the right of [tex]$-8$[/tex] but still to the left of [tex]$0$[/tex].
- The point [tex]$11$[/tex] will be to the far right, significantly to the right of [tex]$0$[/tex].
This way, you have successfully plotted the integers [tex]$-8$[/tex], [tex]$-4$[/tex], and [tex]$11$[/tex] on a number line.
