On the number axis, the positions of the points representing a, B and C are shown in the figure. C -- 0 -- a -- B -- simplify the absolute value of A-B plus the absolute value of a-c Value

On the number axis, the positions of the points representing a, B and C are shown in the figure. C -- 0 -- a -- B -- simplify the absolute value of A-B plus the absolute value of a-c Value

The absolute value of A-B plus the absolute value of a-c
= b-a+a-c
=b-c