Chapter 5, Problem 18SGR

To determine

To solve the inequality $\frac{1}{5}g\ge -4$ and to graph the solution set.

Answer to Problem 18SGR

The solution is $g\in \left[-20,\infty \right)$ and the graph is,

  

Explanation of Solution

Given:

  $\frac{1}{5}g\ge -4$

Calculation:

  $\frac{1}{5}g\ge -4$

Multiplying by 5 on both sides, we get

  $\begin{array}{l}\frac{1}{5}g\times 5\ge -4\times 5\\ \Rightarrow g\ge -20\\ \Rightarrow g\in \left[-20,\infty \right)\end{array}$

Now the graph is,