Chapter 3.6, Problem 29E

To determine

To calculate:solve the inequality for $\frac{-5s-8}{4}\ge -22$ .

Answer to Problem 29E

The value of inequality for $\frac{-5s-8}{4}\ge -22$ is $s\le 16$ .

Explanation of Solution

Given information : consider, the inequality provided in the question

  $\frac{-5s-8}{4}\ge -22$ .

Calculation : to solve this inequality first multiply -22 by 4 then add8 both side after that divide the result by -5. Because of negative divide inequality sign will change.

  $\frac{-5s-8}{4}\ge -22$

  $\begin{array}{l}-5s-8\ge -88\\ -5s-8+8\ge -88+8\\ -5s\ge -80\\ s\le \frac{-80}{-5}\end{array}$

  $s\le 16$

  

Hence,

Thus, the value of inequality for $\frac{-5s-8}{4}\ge -22$ is $s\le 16$ .