#### Answer

$x\ge-2$

#### Work Step by Step

The given inequality, $
|3x+6|\ge0
,$ is equivalent to
\begin{array}{l}\require{cancel}
3x+6\ge0
.\end{array}
Using the properties of inequality, the solution to the inequality above is
\begin{array}{l}\require{cancel}
3x\ge-6
\\\\
x\ge-2
.\end{array}