Question

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

Answer 1

Second number line(from top to bottom).

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 > (54)/(18)`

`x > 3`

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