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

Step-by-step 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