For example, let's say that in a linear physics problem, all the data are given to a certain direction, and coded positively for direction to the right.
So +5m/s would be a velocity of 5m/s to the right.
And lets say after some calculation you get a negative answer, implying the direction was therefore to the left. (-2m/s for example), would it be therefore incorrect to state -2m/s to the left? Would this not be like saying the opposite of 2m/s to the left, and therefore to the right?