8 Graph the solution to the following compound inequality:
\[
x+8 \geq 9 \text { and } \frac{x}{7} \leq 1
\]

Step 1 ：The problem is asking to graph the solution of two inequalities. The first inequality is a linear inequality and the second one is a rational inequality.

Step 2 ：To solve the first inequality, we need to isolate x by subtracting 8 from both sides.

Step 3 ：For the second inequality, we need to isolate x by multiplying both sides by 7.

Step 4 ：After finding the solution for both inequalities, we can graph them on a number line. The solution to the compound inequality is the intersection of the two solutions.

Step 5 ：The graph shows the solution to the compound inequality. The solution to the first inequality \(x + 8 \geq 9\) is \(x \geq 1\), and the solution to the second inequality \(x / 7 \leq 1\) is \(x \leq 7\). The intersection of these two solutions is the range \(1 \leq x \leq 7\).

Step 6 ：Final Answer: The solution to the compound inequality is \(\boxed{1 \leq x \leq 7}\).