SOLUTION: Rewrite without absolute value for the given conditions: y=|x−3|+|x+2|−|x−5| If x is less than -2

Algebra ->  Absolute-value -> SOLUTION: Rewrite without absolute value for the given conditions: y=|x−3|+|x+2|−|x−5| If x is less than -2      Log On


   

Question 1024547: Rewrite without absolute value for the given conditions:
y=|x−3|+|x+2|−|x−5|
If x is less than -2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's look at each function and what it looks like when x%3C2
y%5B1%5D=abs%28x-3%29
y%5B1%5D=-%28x-3%29
y%5B1%5D=-x%2B3
,
,
y%5B2%5D=abs%28x%2B2%29
y%5B2%5D=-%28x%2B2%29
y%5B2%5D=-x-2
,
,
y%5B3%5D=abs%28x-5%29
y%5B3%5D=-%28x-5%29
y%5B3%5D=-x%2B5
,
,
So then,
y=y%5B1%5D%2By%5B2%5D%2By%5B3%5D
y=-x%2B3-x-2-%28-x%2B5%29
y=-x-4when x%3C-2