-8x is less than or equal to 32
What is the inequalities that are possible.

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.

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