The inequality to solve is:

$b + 4 \geq 9$

Steps to solve:

1. Subtract 4 from both sides of the inequality to isolate $b$: $b \geq 9 - 4$
2. Simplify: $b \geq 5$

Solution:

$b \geq 5$

Would you like more details or have any questions?

Here are 5 related questions to expand this topic:

1. How would the inequality change if it were $b + 4 \leq 9$?
2. Can you solve the inequality $2b + 3 \geq 7$?
3. What happens to the inequality when you multiply or divide by a negative number?
4. How do you represent $b \geq 5$ on a number line?
5. What is the solution to $b + 4 \geq -3$?

Tip: When solving inequalities, remember that multiplying or dividing by a negative number reverses the inequality sign!