Answer:
[tex]x > -1[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 1) < 8[/tex]
Required
Show on a number line
[tex]-2(3x - 1) < 8[/tex]
Divide through by -2
[tex]\frac{-2(3x - 1)}{-2} < \frac{8}{-2}[/tex]
[tex]3x - 1 > -4[/tex]
Add 1 to both sides
[tex]3x -1 + 1 > -4 + 1[/tex]
[tex]3x > -3[/tex]
Divide through by 3
[tex]x > -1[/tex]
See Attachment for number line
