Answer :
[tex] 5x\ \textless \ 2x-3[/tex]
[tex] 5x-2x\ \textless \ -3 [/tex] [tex]Subtract \ 2x \ from \ both \ sides[/tex]
[tex]3x\ \textless \ -3 [/tex]
[tex]x\ \textless \ - \dfrac{3}{3} [/tex] [tex]Divide \ both \ sides \ by \ 3[/tex]
[tex]x<-1[/tex]
[tex] 5x-2x\ \textless \ -3 [/tex] [tex]Subtract \ 2x \ from \ both \ sides[/tex]
[tex]3x\ \textless \ -3 [/tex]
[tex]x\ \textless \ - \dfrac{3}{3} [/tex] [tex]Divide \ both \ sides \ by \ 3[/tex]
[tex]x<-1[/tex]