To determine which number line correctly plots the integers -6, -2, and 5, follow these detailed steps:
1. Identify the range of the number line:
- Identify the smallest and largest integers in the given set.
- The smallest integer is -6 and the largest integer is 5.
2. Construct the number line:
- The number line should include all integers from the smallest integer (-6) to the largest integer (5).
- So, our number line will include every integer in the sequence: -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5.
3. Mark the specific integers on the number line:
- Place a point or mark at each of the given integers on the number line.
- Specifically, you need to mark the positions corresponding to the integers -6, -2, and 5.
To visualize:
```
-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
| | | | | | | | | | | |
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
X X X
```
At positions -6, -2, and 5, we place indicators (represented by 'X'):
- An 'X' at -6
- An 'X' at -2
- An 'X' at 5
Thus, the number line with all integers from -6 to 5, and marks at -6, -2, and 5, correctly plots the given integers.
