1. **State the problem:** Solve the inequality $x + 12 > 17$ for $x$. 2. **Write the inequality:** $$x + 12 > 17$$ 3. **Isolate $x$ by subtracting 12 from both sides:** $$x + \cancel{12} - \cancel{12} > 17 - 12$$ 4. **Simplify the right side:** $$x > 5$$ 5. **Interpretation:** The solution is all values of $x$ greater than 5. 6. **Graph on the number line:** Since the number line ranges from -12 to 12, mark an open circle at 5 (because 5 is not included) and shade all values to the right of 5. **Final answer:** $$x > 5$$