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# Absolute Value

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

Thanks!

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#1
+79741
+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
+257
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Thanks, your answer was right but it turns out the form wanted was 6x-5 :/

#3
+79741
+1

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
edited by CPhill  Dec 7, 2017

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