Question 323284
{{{-9<3x-8<-1}}} Start with the given compound inequality.



{{{-9+8<3x<-1+8}}} Add {{{8}}} to all sides.



{{{-1<3x<-1+8}}} Combine like terms on the left side.



{{{-1<3x<7}}} Combine like terms on the right side.



{{{-1/3<x<7/3}}} Divide all sides by 3.



So the solution is {{{-1/3<x<7/3}}}



which is <font size="8">(</font>*[Tex \LARGE \bf{-\frac{1}{3},\frac{7}{3}}]<font size="8">)</font> in interval notation.