Answer:
[tex]x>-2[/tex]
Step-by-step explanation:
Solve for x
[tex]-3x+1<7[/tex]
Subtract 1 from both sides
[tex]-3x+1-1<7-1\\-3x<6[/tex]
Divide both sides from both sides (don't forget to flip the <)
[tex]\frac{-3x}{-3} <\frac{6}{-2} \\\\x>-2[/tex]
x is greater than -2, so mark -2 with an open circle and move to the left: