Answer :
[tex]4(1-3n)-14>4(2n+3)-9n\ \ \ | omit\ brackets\\\\
4-12n-14>8n+12-9n\ \ \ | combine\ like\ terms\\\\
-10-12n>-n+12\ \ \ | add\ n\\\\
-11n-10>12\ \ \ | add\ 10\\\\
-11n>22\ \ | divide\ by\ -11\\\\
n<-2\\\\
n\in(-\infty,-2)[/tex]