Question

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

Answer 1

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`