Answer:
The solution to the inequality is:
[tex]2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}[/tex]
Please also check the graph of the solution to the inequality.
Step-by-step explanation:
Given the inequality
[tex]2\ge \frac{g}{-4}[/tex]
switch sides
[tex]\frac{g}{-4}\le \:2[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\frac{g\left(-1\right)}{-4}\ge \:2\left(-1\right)[/tex]
Simplify
[tex]\frac{g}{4}\ge \:-2[/tex]
Multiply both sides by 4
[tex]\frac{4g}{4}\ge \:4\left(-2\right)[/tex]
Simplify
[tex]g\ge \:-8[/tex]
Therefore, the solution to the inequality is:
[tex]2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}[/tex]
Please also check the graph of the solution to the inequality.
