1. **State the problem:** We need to solve the inequality $b \leq 4$ and understand its graph. 2. **Formula and rules:** The inequality $b \leq 4$ means $b$ is less than or equal to 4. 3. **Solve the inequality:** Since $b$ is already isolated, the solution is all values of $b$ such that $b$ is less than or equal to 4. 4. **Graph explanation:** On a number line, we represent $b \leq 4$ by placing a closed circle at 4 (because 4 is included) and shading all values to the left of 4 (representing all numbers less than 4). 5. **Summary:** The solution set is $\{b | b \leq 4\}$, and the graph shows a closed circle at 4 with shading extending leftwards.