1. **State the problem:** Solve the inequality $w + 3 \leq -10$. 2. **Find the boundary point by solving the equation:** $$w + 3 = -10$$ 3. **Isolate $w$ by subtracting 3 from both sides:** $$w + \cancel{3} - 3 = -10 - 3$$ $$w = -13$$ 4. **Interpret the inequality:** Since the original inequality is $w + 3 \leq -10$, the solution is all values of $w$ less than or equal to $-13$. 5. **Final answer:** $$w \leq -13$$