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

Mar 22, 2017

Use the definition the absolute value function:

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

#### Explanation:

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

$2 x \ge 6 \mathmr{and} - 2 x \ge 6$

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

$x \ge 3 \mathmr{and} x \le - 3$