1. **State the problem:** Solve the inequality $$3x > 9$$ and graph the solution. 2. **Formula and rules:** To solve inequalities, we use the same rules as equations, but when multiplying or dividing by a negative number, we must reverse the inequality sign. 3. **Solve the inequality:** $$3x > 9$$ Divide both sides by 3: $$\frac{\cancel{3}x}{\cancel{3}} > \frac{9}{3}$$ Simplifies to: $$x > 3$$ 4. **Interpretation:** The solution is all values of $$x$$ greater than 3. 5. **Graphing:** On a number line, draw an open circle at 3 (since 3 is not included) and shade the line to the right to indicate all numbers greater than 3. **Final answer:** $$x > 3$$