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)?- 12x + 24 < 6x - 30
- 12x - 6x < - 30 - 24
- 18x < - 54 .(- 1)
18x > 54
x > 54/18
x > 3

Answer 2

we have

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

Eliminate the parenthesis

`24-12x<6x-30`

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

`24+30<6x+12x`

`54<18x`

Divide by
`18` both sides

`54/18<x`

`3<x`

rewrite the inequality

`x>3`

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

The answer in the attached figure