Question

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

Answer 1

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.