1. **State the problem:** Solve the inequality $$9k > -72$$ and find the solution set. 2. **Formula and rules:** To solve inequalities like $$ak > b$$ where $$a$$ and $$b$$ are constants, divide both sides by $$a$$. If $$a$$ is positive, the inequality direction stays the same. If $$a$$ is negative, reverse the inequality sign. 3. **Solve the inequality:** $$9k > -72$$ Divide both sides by 9 (positive number, so inequality sign stays): $$\frac{9k}{\cancel{9}} > \frac{-72}{\cancel{9}}$$ $$k > -8$$ 4. **Interpretation:** The solution set is all values of $$k$$ greater than $$-8$$. 5. **Check the graph description:** The graph shows a filled dot at $$-8$$ and an arrow pointing left, indicating $$k \leq -8$$, which contradicts the solution. 6. **Correct graph interpretation:** Since $$k > -8$$, the graph should have an open circle at $$-8$$ and an arrow pointing right. **Final answer:** $$k > -8$$