SOLUTION: y=|x-3|+|x+2|-|x-5| if x>5

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Question 1206639: y=|x-3|+|x+2|-|x-5| if x>5
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

If x > 5, then all the expressions under the absolute value operator
are positive.  highlight%28highlight%28THEREFORE%29%29


    if x > 5,  then  y=|x-3|+|x+2|-|x-5| = (x-3) + (x+2) - (x-5) = (x+x-x) + (-3+2+5) = x + 4.    ANSWER

Solved and explained.


You do not need to use complicated formula.
Everything is clear from simple explanation, which is based on the definition of absolute value.