How do you solve #abs(2x+9) ≤ 3#?

1 Answer
Feb 28, 2017

Answer:

#-6 le x le-3#

Explanation:

Because it has the absolute value sign, you can assume there are two equations:
#2x+9le3#
and
#-(2x+9)le3#

Lets solve for the first one.
#2xle-6#
#xle-3#

Now onto the second one.
#2x+9ge-3#
#2xge-12#
#xge-6#

Now combine the two answers.
#xle-3# and #xge-6# for #-6lexle-3#