vanyahoff vanyahoff

05-04-2018
Mathematics

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Write without absolute value: y=|x−3|+|x+2|−|x−5|, if x>5

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ivycoveredwalls ivycoveredwalls

05-04-2018

If x > 5, all the quantities inside absolute value signs are positive, so
|x - 3| = x - 3
|x + 2| = x + 2
|x - 5| = x - 5

The expression becomes x - 3 + x + 2 - (x - 5) which simplifies to x + 4.

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