Answer
See Below
Work Step by Step
Consider the inequality, this inequality has negative assisted with the variable x,
\[\begin{align}
& 6-9x\ge 33 \\
& -9x\ge 33-6 \\
& -9x\ge 27
\end{align}\]
Multiply both side by \[-1\], it changes the direction of the inequality. Thus,
\[\begin{align}
& 9x\le -27 \\
& x\le -3
\end{align}\]
The value is x is less than or equal to \[-3\]. On number line it states that all the numbers which are ahead of or equal to\[-3\]moving from right to left are the values which satisfy x.
Hence, the graph of the simplified form of the inequality on the number line is shown above.
