Answer:
[tex]\large\boxed{n>8\to n\in(8,\ \infty)}[/tex]
Step-by-step explanation:
[tex]12n-9>5n+47\qquad\text{add 9 to both sides}\\\\12n>5n+56\qquad\text{subtract 5n from both sides}\\\\7n>56\qquad\text{divide both sides by 7}\\\\n>8[/tex]
n >8
12n - 9> 5n + 47
Subtract 5n from each side
12n-5n - 9> 5n-5n + 47
7n -9> 47
Add 9 to each side
7n-9+9 >47+9
7n > 56
Divide each side by 7
7n/7 >56/7
