Answer:
[tex]\large\boxed{x<-10\to x\in(-\infty,\ -10)}[/tex]
Step-by-step explanation:
[tex]-6+4x>5x+4\qquad\text{add 6 to both sides}\\\\4x>5x+10\qquad\text{subtract 5x from both sides}\\\\-x>10\qquad\text{change the signs}\\\\x<-10[/tex]
-10>x
-6+4x > 5x+4
Subtract 4x from each side
-6+4x-4x > 5x-4x+4
-6 > x+4
Subtract 4 from each side
-6-4 >x+4-4
