Given that x < 5, rewrite 5x - | x - 5 | without using absolute value signs.

Thanks!

AnonymousConfusedGuy
Dec 7, 2017

#1**+2 **

Since l a l = √ a^2....we can write

y = 5x - l x - 5 l =

y = 5x - √ (x - 5)^2

P.S. - I don't know if this is exactly what you want, or not.....!!!!

CPhill
Dec 7, 2017

#2**0 **

Thanks, your answer was right but it turns out the form wanted was 6x-5 :/

AnonymousConfusedGuy
Dec 7, 2017

#3**+2 **

OK..... I thought that might be the other form that you wanted....let me show you how to get this

We have two points on the line (0, -5) and ( 1,1)

The slope between these points is [ 1 - -5 ] / [ 1 - 0 ] = 6/1 = 6

Now ....using (0, -5) we have that

y - (-5) = 6 (x - 0)

y + 5 = 6x

y = 6x - 5

CPhill
Dec 7, 2017