Solve the inequality what is the solution?

Question

asked Mar 17, 2022 167k views

1 Answer

Sairaj Sawant · Answer 1 · 2022-03-22T15:29:06+0000

Answer:

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.