Question 1206639
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<pre>

If x > 5, then all the expressions under the absolute value operator
are positive.  {{{highlight(highlight(THEREFORE))}}}


    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.    <U>ANSWER</U>
</pre>

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.