Question

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

Answer 1

2nd option.

Explanation:

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

24 - 12x < 6x - 30

-12x - 6x < -30 - 24

-18x < -54

x > 3

Answer 2

2nd graph

Explanation:

3(8 – 4x) < 6(x – 5)

Distribute

24 -12x < 6x -30

Add 12x to each side

24-12x+12x < 6x-30+12x

24 < 18x-30

Add 30 to each side

24+30 < 18x-30+30

54 <18x

Divide by 18

54/18 < 18x/18

3<x

Open circle at 3 and line going to the right