Points A B C lie on one straight line AB = x AC = x-2 Can point B lie between points A and C?

Since the distance AB = x, and the distance AC = x – 2, that is, 2 less than the distance AB, then point B cannot lie between points A and C, since its distance to A is greater than the distance from points A to C.

To check, we can substitute any number, if point B lies between points A and C, then the distance AB will be less than the distance AC, since AC will be equal to AB + BC. Substitute the number 3:

AB = 3, AC = 3 – 2 = 1. We get that AC is less than AB, which means that point B cannot lie between A and C.