To solve the inequality \(-6y > 24\), we can isolate \(y\) by dividing both sides by \(-6\). Remember that when we divide or multiply both sides of an inequality by a negative number, we must flip the inequality sign.
So, dividing both sides by \(-6\):
\[ y < \frac{24}{-6} \]
This simplifies to:
\[ y < -4 \]
The solution to the inequality is \(y < -4\).
In graphical terms, this would be represented on a number line as follows:
- An open circle on \(-4\) (indicating that \(-4\) is not included in the solution set).
- A shaded line extending to the left from \(-4\) (indicating that all numbers less than \(-4\) are included in the solution).
If you have specific options for graphs, look for the one that matches this description. If you have further details or options, please provide them so I can help you better!