This is worth 10 points give a legit answer!
\(-\frac{4}{11}x-1>-\frac{8}{11}\)\(\Rightarrow -\frac{4}{11}x>\frac{3}{11}\)\(\Rightarrow -4x>3\)\(\Rightarrow x<-\frac{3}{4}\)(the > becomes a < when you divide by a negative)