Respuesta :

Answer:

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

[tex]3(8 - 4x) < 6(x - 5)[/tex]

It is solved similarly to an equality, so:

[tex]24 - 12x < 6x - 30[/tex]

[tex]-18x < -54[/tex]

Multiplying by -1, the signal changes from < to >. So

[tex]18x > 54[/tex]

[tex]x > \frac{54}{18}[/tex]

[tex]x > 3[/tex]

Thus the correct answer is given by the second number line.