I am reviewing a limit question for a test and am trying to figure out the reason why it was solved as it was. Here is the question:
(4-x)<0 (as x>4)
I am confused as to why the |3x-14| becomes 14-3x. If the x is to be greater then 4, would |3x-14| be positive?
So in future questions with absolute values, should I first rewrite the absolute value (like in the x-4 case) so that it matches the situation (i.e. if x is less then or greater then a number, write it so that it factors that in?...is there an easier way to say that? :P)