Question

-4x-11 > 5 or 8x-7 > 9

Answer 1

Ok first we can solve x for each inequality

$\begin{gathered} -4x-11>5 \\ -4x>5+11 \\ -4x>16 \\ x<\frac{16}{-4} \\ x<-4 \end{gathered}$

when you remove a negative sign on inuquality you rotate the symbol

$\begin{gathered} 8x-7>9 \\ 8x>9+7 \\ 8x>16 \\ x>\frac{16}{8} \\ x>2 \end{gathered}$

so, we have

$x<-4\text{ or x>2}$

This is the graph, you dont take -4 and 2