Answer:
[tex]x < - 1[/tex]
You should have a circle on -1 with the arrow going left
Step-by-step explanation:
Subtract 8 from both sides.
[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]
[tex] - 4x > 4[/tex]
Divide by -4
[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]
Since you are dividing by a negative, you need to flip the inequality.
[tex]x < - 1[/tex]