1. **Problem:** Solve the inequality $$12 < p + 6$$. 2. **Formula and rules:** To solve inequalities, isolate the variable on one side by performing inverse operations. Remember, when multiplying or dividing by a negative number, reverse the inequality sign. 3. **Step 1:** Subtract 6 from both sides to isolate $$p$$: $$12 - 6 < p + 6 - 6$$ $$6 < p$$ 4. **Step 2:** Rewrite the inequality in standard form: $$p > 6$$ 5. **Explanation:** This means $$p$$ must be greater than 6 for the inequality to hold true. **Final answer:** $$p > 6$$