Đáp án+Giải thích các bước giải:
a)`(x-5)/3<(x-8)/4`
`<=>(x-5)/3-(x-8)/4<0`
`<=>(4x-20-3x+24)/12<0`
`<=>x+4<0`
`<=>x<-4`
Vậy `x<-4.`
b) `(x+3)/4+1<x+(x+2)/3`
`<=>(x+3)/4+1-x-(x+2)/3<0`
`<=>(3x+9+12-12x-4x-8)/12<0`
`<=>-13x+13<0`
`<=>-13x<-13`
`<=>x>1`
Vậy `x>1.`
c) `(3x-1)/4-(3(x-2))/8-1>(5-3x)/2`
`<=> (3x-1)/4-(3x-6)/8-1-(5-3x)/2>0`
`<=>(6x-2-3x+6-8-20+12x)/2>0`
`<=>15x-24>0`
`<=>x>24/15`
`<=>x>8/5`
Vậy `x>8/5`.