which number line represents the solution set for the inequality
3(8-4x) < 6(x-5) ?

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.