`***`Lời giải`***`
`\frac{2x-3}{4}-\frac{x+1}{3}>\frac{1}{2}-\frac{3-x}{5}`
`<=>\frac{15(2x-3)}{60}-\frac{20(x+1)}{60}>\frac{30}{60}-\frac{12(3-x)}{60}`
`<=>15(2x-3)-20(x+1)>30-12(3-x)`
`<=>30x-45-20x-20>30-36+12x`
`<=>30x-20x-12x>30-36+45+20`
`<=>-2x>59`
`<=>2x<-59`
`<=>x<-59/2`
Vậy `S={x|x<-59/2}`