Respuesta :

Answer:

Option 3: [tex] x \ge 8 [/tex]

Graph C

Step-by-step explanation:

Find the solution of [tex] -\frac{x}{4} \le 2 [/tex]

[tex] -\frac{x}{4} \le 2 [/tex]

[tex] -x \le 8 [/tex](multiplication property of equality)

Divide both sides by -1. Since we are dividing by a negative number, the sign would change

[tex] x \ge 8 [/tex]

This means that the possible values of x are 8 and any number above 8.

Graphing this, the arrow of directed line would start at 8 and move towards our right hand.

Thus, the graph would be graph C in option C.