Solve the inequality $4 x+6 \leq 3 x+11$ and select the graph of the solutions. What is the solution? $\{x \mid \square$ (Type an inequality.) What is the graph of the solution? A. B. c. D. E. None of the above

Step 1 ：The first step to solve the inequality $4 x+6 \leq 3 x+11$ is to isolate the variable $x$ on one side of the inequality. To do this, we can subtract $3x$ from both sides of the inequality to get $x + 6 \leq 11$. Then, we can subtract $6$ from both sides of the inequality to get $x \leq 5$. This is the solution to the inequality.

Step 2 ：To graph the solution, we need to draw a number line and mark the point $5$ on it. Since the inequality is less than or equal to, we need to include the point $5$ in the solution set. This means that we need to draw a closed circle at $5$. Then, since $x$ is less than or equal to $5$, we need to shade the number line to the left of $5$.

Step 3 ：The solution to the inequality $4 x+6 \leq 3 x+11$ is $x \leq 5$. The graph of the solution is a number line with a closed circle at $5$ and shaded to the left. Therefore, the answer is \(\boxed{E. None of the above}\).