How do you solve #3abss-2>=7#?

1 Answer
Alan P.
Apr 7, 2015

Normally we would separate the 2 cases of the absolute expression immediately (that is #s<0# and #s>=0# and solve independently for the 2 cases.

However, for this example we can simplify almost everything directly
#3abs(s) - 2 >= 7#
#rarr 3abs(s)>=9#
#rarr abs(s)>=3#

and all that is left is to note that for this to be true:
#s>=3#
or
#s<=-3#

Related questions
See all questions in Absolute Value Inequalities
Impact of this question
1015 views around the world
You can reuse this answer
Creative Commons License