Answer:x < - [tex]\frac{8}{15}[/tex]Step-by-step explanation:- [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{3}[/tex] > [tex]\frac{3}{5}[/tex]Subtract 1/3 from both sides.- [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] > [tex]\frac{3}{5}[/tex] - [tex]\frac{1}{3}[/tex]= - [tex]\frac{1}{2}[/tex] x > [tex]\frac{4}{15}[/tex]Multiply both sides by 2/(-1).REMEMBER: when multiplying or dividing by a negative number you have to change the inequality sign, if it is > change it to <.= - [tex]\frac{1}{2}[/tex]x x (- [tex]\frac{1}{2}[/tex] ) < [tex]\frac{4}{15}[/tex] ( - [tex]\frac{1}{2}[/tex] )= x < - [tex]\frac{8}{15}[/tex]IF THAT DOESN'T APPEAR RIGHT:-1/2x+1/3>3/5-1/2x>4/15x<-8/15