Just had a homework problem:
Find all x in R that satisfy 4 less than abs(x+2)+abs(x-1) less than 5.
I did it all out assuming abs(x+2) can be written as x+2 or -x-2 and the same for abs(x-1).
I got an answer of:
-3 less than x less than (-5/2)
(3/2) less than x less than 2.
Can anyone confirm this for me?