Question

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

Answer 1

Answer:

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

$3(8 - 4x) < 6(x - 5)$

It is solved similarly to an equality, so:

$24 - 12x < 6x - 30$

$-18x < -54$

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

$18x > 54$

$x > \frac{54}{18}$

$x > 3$

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