https://file.aiquickdraw.com/mathbot/file/1733886750314z0btlnph.jpg

The inequality visible in the image appears to be:

\[
-4b - 9 \geq -5
\]

### Solving the inequality step by step:

1. **Add 9 to both sides** to isolate the term with \( b \):
   \[
   -4b - 9 + 9 \geq -5 + 9
   \]
   Simplifying:
   \[
   -4b \geq 4
   \]

2. **Divide both sides by -4**, remembering to reverse the inequality because you are dividing by a negative number:
   \[
   b \leq -1
   \]

### Final solution:
\[
b \leq -1
\]

Let me know if you'd like further clarification or additional examples. 

### Related Questions:
1. How do you solve inequalities with fractions?
2. How do you graph the solution \( b \leq -1 \) on a number line?
3. What happens when multiplying or dividing inequalities by a negative number?
4. Can you explain how to solve a double inequality, such as \( -3 \leq 2x + 1 < 7 \)?
5. How do you check if a solution satisfies an inequality?

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

Learn how to solve the linear inequality -4b - 9 ≥ -5. This guide provides a detailed step-by-step solution, highlights the key algebraic concepts, and explains why the inequality sign reverses when dividing by a negative number. Perfect for students in Grades 8-10.

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