Question

Rewrite without absolute value for the given conditions: y=|x−3|+|x+2|−|x−5|, if x<−2

Answer 1

Explanation:

hello :

y=|x−3|+|x+2|−|x−5|, if x<−2

if x<−2 :

x-3 ≤ 0 so : |x−3| = - (x-3) = 3-x

x+2 ≤ 0 so : |x+2| = - (x+2) = -x-2

x-5≤ 0 so : |x−5| = -(x-5) = 5-x

y=(3-x)+(-x-2)−(5-x) = 3-x-x-2-5+x

y = -x - 4