`1) (2-x)/(4x+8)<1 ( đk : x >-2 )`
`<=> (2-x)/(4x+8)-1<0`
`<=> (2-x-4x-8)/(4x+8)<0`
`<=>(-5x-6)/(4x+8)<0 (1)`
`Do x>-2 => 4x+8>0`
`Từ (1) => -5x-6<0`
`<=> -5x < 6 => x>-6/5` ( t/m đk )
`Vậy : x>-6/5`
`2) (x-1)/(x-3)>2( đk : x>3)`
`<=> (x-1)/(x-3)-2>0`
`<=> (x-1-2(x-3))/(x-3) > 0`
`<=> (x-1-2x+6)(x-3)>0`
`<=> ( -x+5)(x-3)>0 (1)`
`Do x>3 => x-3 > 0`
`Từ (1) => -x+5>0`
`=> x<5 . Mà x >3`
`Vậy :3<x<5`
`3) (6-3x)/(x-2)>=1 ( đk : x>2)`
`<=> (6-3x)/(x-2)-1>=0`
`<=> (6-3x-x+2)/(x-2)>=0`
`<=> (-4x+8)(x-2)>=0 (1)`
`Do x>2 => x-2>0`
`Từ (1) => -4x +8 >= 0`
` <=> -4x >=-8`
`=> x<2 . Mà x>2`
`Vậy : x = ∅`
`4) (3x+5)/(x-2)<=3( đk : x>2)`
`<=> (3x+5)/(x-2)-3<=0`
`<=> (3x+5-3(x-2))/(x-2)<=0`
`<=> ( 3x+5-3x+6)/(x-2)<=0`
`<=>11/(x-2) <=0`
`Do 11>0 => x-2 < 0`
`<=> x<2 . Mà x>2 `
`Vậy : x = ∅`
