How do you solve and graph #|2x| ≥ 6 #?

1 Answer
Mar 22, 2017

Answer:

Use the definition the absolute value function:

#|a|={ (a; a >=0), (-a;a<0) :}#

Explanation:

The means that you can substitute #2x# for #|2x|# to find one part of the domain and #-2x# for |2x| to find the other part of the domain:

#2x >=6 and -2x>=6#

When divide by -2, you need to flip the inequality:

#x >=3 and x<=-3#