How do you solve #-5abs(x+13)+34<=9#?

1 Answer
Jun 14, 2015

Answer:

Solve# -5|x + 13| + 34 <= 9#

Explanation:

#5|x + 13| >= 34 - 9#

#|x + 13| >= 5#

Separate solving into 2 cases.

a.# (x + 13) > 5 -> x > 5 - 13 -> x >= - 8#

b.# - (x + 13) = - x - 13 > 5 --> x <= -13 - 5 -> x <= - 18#
Graph

========|-18-----------------|-8=====|0=========