Question

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

Answer 1

3(8-4x)<6(x-5)
24 - 12x < 6x - 30
18x > 54
x > 3
answer is B. x > 3

Answer 2

we have

`3(8-4x)<6(x-5)\\3*8-3*4x < 6x-6*5\\24-12x < 6x-30\\-12x-6x < -30-24\\-18x < -54\\18x > 54\\ x > (54/18)\\x > 3`

the solution is the interval -------> (3,∞)

therefore

the answer in the attached figure