Answer
$x \ge 1 \text{ or } x < 6$
The solution is $\left\{x| x\text{ is a real number}\right\}$
Refer to the graph below.
Work Step by Step
Solve each inequality:
\begin{align*}
3x &\ge 3\\\\
\frac{3x}{3} &\ge \frac{3}{3}\\\\
x &\ge 1
\end{align*}
$$\text{or}$$
\begin{align*}
9x&\lt 54\\\\
\frac{9x}{9} &\lt \frac{54}{9}\\\\
x&\lt 6
\end{align*}
Graph each inequality to obtain the one in the attached image below.
Since the compound inequality involves the conjunction $\text{OR}$, then the solutions to the inequality are the combined numbers of the two graphs.
Notice the when combined, the entire number line is covered.
Thus, the solution is $\left\{x|x \text{ is a real number}\right\}$.
