Answer:
b.
Step-by-step explanation:
To fin the distance between two points in a number line we do the absolute value of the points subtracted. That is, if we need to find the distance between the point a and the point b in a number line we do |a-b|. Now, the Gym is in the point -6 in the number line and the office is in the point 4 in the number line, then the distance from -6 to 4 is |-6-4| = |-10| = 10.
Now, the option a is |-6+4| ≠ |-6-4|.
The option b is |-6|+|4| = 6+4 = 10 =|-6-4|. Then, the option b is correct.
The option c is -6+4 ≠ |-6-4|.
The option d is -|6|+|4| = -6+4 ≠ |-6-4|.
Then, the answer is b.
