Brook states that the distance on the line is 4 units. Caleb states that the whole line does not have a distance because it continues on forever. Vivian states that the line is 6 units long.
Number line are used to represent numbers on a line at regular intervals.
From the number line, we have:
[tex]L = -6[/tex]
[tex]M = -2[/tex]
[tex]N =4[/tex]
To get the distance between each point, we simply calculate the absolute difference between the points.
[tex]LM = |L - M|[/tex]
[tex]LM = |-6--2|[/tex]
[tex]LM = |-4|[/tex]
Remove absolute bracket
[tex]LM = 4[/tex]
This means that the distance measured by Brook is between L and M
Similarly:
[tex]MN = |M - N|[/tex]
[tex]MN = |-2 - 4|[/tex]
[tex]MN = |-6|[/tex]
Remove absolute bracket
[tex]MN = 6[/tex]
This means that the distance measured by Vivian is between M and N
In conclusion:
Read more about number lines at:
https://brainly.com/question/13189025
Answer:
The distance measured by Brook is between L and M
The distance measured by Vivian is between M and N
Step-by-step explanation: