Answer:
[tex]h<-15[/tex]
Step-by-step explanation:
[tex]-18+7h>12+9h[/tex]
Add 18 to both sides:
[tex]-18+7h+18>12+9h+18[/tex]
[tex]7h>9h+30[/tex]
Subtract 9h from both sides:
[tex]7h>9h+30[/tex]
[tex]-2h>30[/tex]
Multiply both sides by -1 and flip the symbol:
[tex]\left(-2h\right)\left(-1\right)<30\left(-1\right)[/tex]
[tex]2h<-30[/tex]
Divide both sides by 2:
[tex]\frac{2h}{2}<\frac{-30}{2}[/tex]
[tex]h<-15[/tex]
