Question

Solve: 5|x+4|<9.
State your answer as an inequality (e.g. A

Answer 1

$5|x+4|<9\\\\ |x+4|<\dfrac{9}{5}\\\\ x+4<\dfrac{9}{5} \wedge x+4>-\dfrac{9}{5}\\\\ x<-4+\dfrac{9}{5} \wedge x>-4-\dfrac{9}{5}\\\\ x<-\dfrac{20}{5}+\dfrac{9}{5} \wedge x>-\dfrac{20}{5}-\dfrac{9}{5}\\\\ \boxed{x<-\dfrac{11}{5} \wedge x>-\dfrac{29}{5}}$