Respuesta :

Step-by-step explanation:

[tex] \frac{1}{4} x \geqslant - 2 \\ x \geqslant - 8[/tex]

Ver imagen asmaNasr

The inequality has a range [-8, ∞) and is shown on the number line.

It is given that the inequality  [tex]\frac{1}{4x} \geq -2[/tex]

It is required to show the inequality on the graph.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have inequality:

[tex]\rm \frac{1}{4}x \geq -2[/tex]

We can write the above expression as follows:

[tex]\rm {x} \geq -8[/tex]  or

The range would be [-8, ∞)

On the graph, we can represent it as shown in the figure.

Thus, the inequality has a range [-8, ∞) and is shown on the number line.

Learn more about the inequality here:

https://brainly.com/question/19491153

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