Solve the inequality $10 x+7 \leq 9 x+8$ and select the graph of the solutions. What is the solution? $\{x \backslash \square$ (Type an inequality.)

Step 1 ：Subtract $9x$ from both sides of the inequality $10x + 7 \leq 9x + 8$ to get $x + 7 \leq 8$

Step 2 ：Subtract $7$ from both sides of the inequality to get $x \leq 1$

Step 3 ：The solution to the inequality is \(\boxed{x \leq 1}\), which means that any value of $x$ that is less than or equal to 1 is a solution to the inequality