Answer:
D. |−3 − 8| = 11
Step-by-step explanation:
We have to simplify an absolute value expression to find the distance between -3 and 8 on a number line.
Firstly, as we know that the absolute value means any number inside the mod (whether positive or negative) will come out as a positive value only, that means;
The absolute value of -6 = [tex]|-6|[/tex] = 6
The absolute value of 6 = [tex]|6|[/tex] = 6
Now, the distance between the numbers -3 and 8 on the number line will be the difference of two numbers inside the mod, that means;
Distance = [tex]|-3-8|[/tex] = [tex]|-11|[/tex]
As the number inside the mod comes out as a positive value only, so the distance = 11.
Hence, the distance between –3 and 8 on a number line is 11.
