Answer:
[tex]\Huge \boxed{x > -3 }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]-2x + 12 < 18[/tex]
Subtracting 12 from both sides:
[tex]-2x + 12 -12< 18 -12[/tex]
[tex]-2x < 6[/tex]
Dividing both sides by -2 (flipping the sign):
[tex]\displaystyle \frac{-2x}{-2} > \frac{6}{-2}[/tex]
[tex]x>-3[/tex]
[tex]\rule[225]{225}{2}[/tex]