The inequality provided in the image is:

$4x + 9 \leq 13$

Let's solve it step by step:

Step 1: Subtract 9 from both sides

$4x + 9 - 9 \leq 13 - 9$ $4x \leq 4$

Step 2: Divide both sides by 4

$x \leq 1$

Solution:

The inequality simplifies to $x \leq 1$.

Graphing the solution:

On the number line, you will have a closed circle at 1, and the shading will extend to the left to represent all values less than or equal to 1.

Would you like more details on how to graph this, or do you have any other questions?

Follow-up questions:

1. How do you solve inequalities with a negative coefficient?
2. What changes when the inequality involves $\geq$ or $<$?
3. How would the solution set change if the inequality was $4x + 9 < 13$?
4. What happens if you multiply or divide both sides of an inequality by a negative number?
5. Can you represent inequalities on a coordinate plane?

Tip:

Always remember that when multiplying or dividing an inequality by a negative number, the direction of the inequality sign must be reversed.