SOLUTION: Rewrite without absolute value for the given conditions: y=|x−3|+|x+2|−|x−5|, if x>5

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Question 1134485: Rewrite without absolute value for the given conditions:
y=|x−3|+|x+2|−|x−5|, if x>5
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Rewrite without absolute value for the given conditions:

y=abs%28x-3%29%2Babs%28x%2B2%29-abs%28x-5%29, if x%3E5+


if x%3E5+
y%5B1%5D=abs%28x-3%29
y%5B1%5D=x-3


if x%3E5+
y%5B2%5D=abs%28x%2B2%29
y%5B2%5D=x%2B2


if x%3E5+
y%5B3%5D=abs%28x-5%29
y%5B3%5D=x-5


y=y%5B1%5D%2By%5B2%5D-y%5B3%5D
y=x-3%2Bx%2B2-%28x-5%29
y=x-3%2Bx%2B2-x%2B5
y=x%2B4 ->if x%3E5+