Respuesta :

Given the equation:

[tex]8\text{ }+\text{ 4x }\ge\text{ 12}[/tex]

We are required to find x.

First subtract 8 from both sides:

[tex]8\text{ - 8 }+\text{ 4x }\ge\text{ 12 -8}[/tex][tex]4x\text{ }\ge\text{ 4}[/tex]

Now, divide both sides by 4

[tex]\frac{4x}{4}\text{ }\ge\text{ }\frac{4}{4}[/tex][tex]x\text{ }\ge\text{ 1}[/tex]

We did not flip the inequality sign because we divided both sides by a posite number and not a negative number. The inequality sign should be flipped only when both sides are divided by a negative number.

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