SOLUTION: Rewrite without absolute value for the given conditions: y=|x&#8722;3|+|x+2|&#8722;|x&#8722;5|, if x<&#8722;2 I am sorry

Algebra ->  Absolute-value -> SOLUTION: Rewrite without absolute value for the given conditions: y=|x&#8722;3|+|x+2|&#8722;|x&#8722;5|, if x<&#8722;2 I am sorry      Log On


   



Question 1076637: Rewrite without absolute value for the given conditions:
y=|x−3|+|x+2|−|x−5|, if x<−2
I am sorry

Found 3 solutions by ikleyn, Istar31, josgarithmetic:
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by Istar31(3) About Me  (Show Source):
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Each of the three expressions INSIDE the absolute values will be negative values for x%3C-2.

y=abs%28x-3%29%2Babs%28x%2B2%29-abs%28x-5%29
and that x%3C-2;

y=-%28x-3%29-%28x%2B2%29-%28-1%29%28x-5%29

y=-x%2B3-x-2%2B%28x-5%29

y=-x%2B3-x-2%2Bx-5
highlight_green%28y=-x-4%29