Question

Solve the inequality


what is the solution?

Answer 1

The solution to the inequality is:

`2\ge (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.

Explanation:

Given the inequality

`2\ge (g)/(-4)`

switch sides

`(g)/(-4)\le \:2`

Multiply both sides by -1 (reverse the inequality)

`(g\left(-1\right))/(-4)\ge \:2\left(-1\right)`

Simplify

`(g)/(4)\ge \:-2`

Multiply both sides by 4

`(4g)/(4)\ge \:4\left(-2\right)`

Simplify

`g\ge \:-8`

Therefore, the solution to the inequality is:

`2\ge (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.