How do you solve and write the following in interval notation: #|x + 8| ≥ 2#?

1 Answer
Jun 29, 2016

Answer:

#x <= -10#
#x >= -6#

Explanation:

#Ix + 8I >= 2#
Solve the inequality in 2 parts:
a. #(x + 8) >= 2#
#x >= 2 - 8 --> #x >= -6# b. -(x + 8) >= 2 #- x - 8 >= 2# #- x > 10# --> #x <= -10#
Solution set expressed by intervals:
(-inf., -10] and [-6, inf.)
Note. The 2 end points are included in the solution set
Graph

=========== -10------------ -6=========== 0===============