Answer:
We conclude that:
[tex]-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]
The solution graph on the number line is also attached.
Step-by-step explanation:
Given the inequality
[tex]-8x\:\le 32[/tex]
Solving the inequality
[tex]-8x\:\le 32[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\left(-8x\right)\left(-1\right)\ge \:32\left(-1\right)[/tex]
Simplify
[tex]8x\ge \:-32[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}\ge \frac{-32}{8}[/tex]
Simplify
[tex]x\ge \:-4[/tex]
Therefore, we conclude that:
[tex]-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]
The solution graph on the number line is also attached.
