To solve the inequality $13 + b < -4$, let's isolate $b$:

1. Subtract 13 from both sides to move the constant term: $13 + b - 13 < -4 - 13$ $b < -17$

So, the solution to the inequality is: $b < -17$

Let me know if you'd like more details or have any questions!

Here are some related questions to explore:

1. How would you solve an inequality like $5 + x > 12$?
2. What happens if the inequality is $13 - b < -4$?
3. How would you represent $b < -17$ on a number line?
4. Can you solve an inequality with multiplication, like $3b < -21$?
5. What if the inequality was $13 + b \leq -4$ instead?

Tip: Always remember to reverse the inequality symbol when multiplying or dividing by a negative number.