Question 1177717: rewrite without absolute value for the given conditions:
y=|x-3|+|x+2|-|x-5|, if 3 < x < 5
Answer by ikleyn(52831)   (Show Source):
You can put this solution on YOUR website! .
If 3 < x < 5, then
a) x-3 > 0; therefore, |x-3| = x-3;
b) x+2 > 0; therefore, |x+2| = x+2;
c) x-5 < 0; therefore, |x-5| = -(x-5).
THEREFORE,
y = |x-3| + |x+2| - |x-5| = (x-3) + (x+2) + (x-5) = 3x - 6. ANSWER
Solved, answered, explained and completed.
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