1. **State the problem:** Solve the inequality $$w + 3 \leq -10$$ and determine if $$w = -13$$ is a solution to the inequality. 2. **Rewrite the inequality:** To isolate $$w$$, subtract 3 from both sides: $$w + 3 \leq -10$$ $$w + 3 - 3 \leq -10 - 3$$ 3. **Simplify:** $$w \leq -13$$ 4. **Check if $$w = -13$$ is a solution:** Substitute $$w = -13$$ into the inequality: $$-13 \leq -13$$ This is true because $$-13$$ is equal to $$-13$$. 5. **Conclusion:** Yes, $$w = -13$$ is a solution to the inequality and also the boundary point. **Final answer:** $$w \leq -13$$ and $$w = -13$$ is a solution to the inequality.