Question

Solve the inequality what is the solution?

Answer 1

Answer:

The solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.

Step-by-step explanation:

Given the inequality

$2\ge \frac{g}{-4}$

switch sides

$\frac{g}{-4}\le \:2$

Multiply both sides by -1 (reverse the inequality)

$\frac{g\left(-1\right)}{-4}\ge \:2\left(-1\right)$

Simplify

$\frac{g}{4}\ge \:-2$

Multiply both sides by 4

$\frac{4g}{4}\ge \:4\left(-2\right)$

Simplify

$g\ge \:-8$

Therefore, the solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.