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

User Marcassin
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6 votes

Answer:

We conclude that:


-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}

The solution graph on the number line is also attached.

Explanation:

Given the inequality


-8x\:\le 32

Solving the inequality


-8x\:\le 32

Multiply both sides by -1 (reverse the inequality)


\left(-8x\right)\left(-1\right)\ge \:32\left(-1\right)

Simplify


8x\ge \:-32

Divide both sides by 8


(8x)/(8)\ge (-32)/(8)

Simplify


x\ge \:-4

Therefore, we conclude that:


-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}

The solution graph on the number line is also attached.

-8x is less than or equal to 32 What is the inequalities that are possible.-example-1
User Wmock
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