quality and write the solution in
36. $\left|\frac{3}{4} x-5\right|+1 \leq 16$

Step 1 ：The given equation is an absolute value inequality. To solve this, we need to remove the absolute value sign. We can do this by setting up two separate inequalities: one for the positive value and one for the negative value. Then we solve each inequality separately.

Step 2 ：The solutions to the inequality are \(x = 26.67\) and \(x = -16.00\). However, we need to check if these solutions satisfy the original inequality.

Step 3 ：The solution \(x = 26.67\) satisfies the original inequality, but the solution \(x = -16.00\) does not. Therefore, the solution to the inequality is \(x = 26.67\).

Step 4 ：Final Answer: The solution to the inequality is \(\boxed{26.67}\).