Answer: [tex]g>17[/tex]
Step-by-step explanation:
[tex]-9g+11<-15g-6+7g[/tex]
Move the g-terms to the left side. and the independent terms to the right side. Remember to change the sign if you move from one side to another.
[tex]-9g+15g-7g<-6-11[/tex]
[tex]-16g+15g<-17[/tex]
[tex]-g<-17[/tex]
Divide by -1 on both sides to make g positive. When it comes to dividing by negatives in inequalities, the inequality sign changes direction.
[tex]\frac{-g}{-1} <\frac{-17}{-1}[/tex]
[tex]g>17[/tex]
