[tex] 5|x+4|<9\\\\
|x+4|<\dfrac{9}{5}\\\\
x+4<\dfrac{9}{5} \wedge x+4>-\dfrac{9}{5}\\\\
x<-4+\dfrac{9}{5} \wedge x>-4-\dfrac{9}{5}\\\\
x<-\dfrac{20}{5}+\dfrac{9}{5} \wedge x>-\dfrac{20}{5}-\dfrac{9}{5}\\\\
\boxed{x<-\dfrac{11}{5} \wedge x>-\dfrac{29}{5}} [/tex]
