Answer:
[tex]x>1[/tex]
Step-by-step explanation:
[tex]-3(11 + 6x) < -42 - 9x[/tex]
Expand:
[tex]-33-18x<-42-9x[/tex]
Add 33 to both sides:
[tex]-33-18x+33<-42-9x+33[/tex]
[tex]-18x<-9x-9[/tex]
Add 9x to both sides:
[tex]-18x+9x<-9x-9+9x[/tex]
[tex]-9x<-9[/tex]
Flip the signs (and the symbol)
[tex]9x>9[/tex]
Divide both sides by 9:
[tex]\frac{9x}{9}>\frac{9}{9}[/tex]
[tex]x>1[/tex]
