Question

Rewrite without absolute value sign for different values of x: y=− 2x+5 + 2x−5 if x<−2.5; if x>2.5; if −2.5≤x≤2.5

Answer 1

Ok um I only know two of the answers, the 2nd and 3rd. -4x; -10. so if ur an rsm person then oof

Explanation:

2)

So for number 2: x>2.5. They r both greater than zero so here:

|2x+5|=2x+5

if u want how to solve it, u do

|2x-5|=2x-5 since i balance the minuses out its ok

then -|2x+5|+|2x-5|=(-2x-5)+{2x-5}=10.

3)

2x+5>0 and 2x-5<0 so

|2x+5|=2x+5

then -|2x+5|=-{2x+5}=-2x-5

|2x-5|=-{2x-5}=-2x+5

-|2x+5|+|2x-5|={-2x-5}+{-2x-5}=-4x

if someone else has de answer for the 1st one then u can delete mine and he can explain it or she