1. **State the problem:** Solve the inequality $$3n + 7 > 4$$ and determine which graph represents its solution. 2. **Write the inequality:** $$3n + 7 > 4$$ 3. **Isolate the variable $n$:** Subtract 7 from both sides: $$3n + 7 - 7 > 4 - 7$$ $$3n > -3$$ 4. **Divide both sides by 3:** $$\frac{\cancel{3}n}{\cancel{3}} > \frac{-3}{3}$$ $$n > -1$$ 5. **Interpret the solution:** The solution is all values of $n$ greater than $-1$. 6. **Graph representation:** The graph should have an open circle at $-1$ (because $n$ is strictly greater than $-1$, not equal) and shading to the right (values greater than $-1$). **Final answer:** The graph that shows an open circle at $-1$ with shading to the right is **Graph C**.