Whakaoti i te x/x-1>2

$$\frac { x } { x - 1 } > 2$$

Whakaoti mō x

$$x\in \left(1,2\right)$$

Ngā Upane Otinga

Kāore e taea a te tauraro x-1 te numa kore nā te mea kāore te rituatanga mā te kore e tautuhi. E rua ngā kēhi.

$$x-1>0 x-1<0$$

Whakaarohia te kēhi i ngā wā kei te tōrunga a x-1. Neke atu a -1 ki te taha matau.

$$x>1$$

Kāore te tōrite tuatahi e whakarerekē te aronga ina e whakarea ana mā x-1 mō x-1>0.

$$x>2\left(x-1\right)$$

Whakarea te katoa o te taha matau.

$$x>2x-2$$

Neke atu ngā kīanga tau e whai ana i x ki te taha mauī me ētahi atu kupu katoa ki te taha matau.

$$x-2x>-2$$

Pahekotia ngā kīanga tau ōrite.

$$-x>-2$$

Whakawehea ngā taha e rua ki te -1. I te mea he tōraro a -1, ka huri te ahunga koreōrite.

$$x<2$$

Whakaarohia te herenga x>1 e tautuhi ana ki runga.

$$x\in \left(1,2\right)$$

Tēnā, me whakaarohia te tauira ina e tōraro a x-1. Neke atu a -1 ki te taha matau.

$$x<1$$

E whakarerekē ana te aronga o te tōrite tuatahi hei ngā wā e whakarea ana a x-1 mō x-1<0.

$$x<2\left(x-1\right)$$

Whakarea te katoa o te taha matau.

$$x<2x-2$$

Neke atu ngā kīanga tau e whai ana i x ki te taha mauī me ētahi atu kupu katoa ki te taha matau.

$$x-2x<-2$$

Pahekotia ngā kīanga tau ōrite.

$$-x<-2$$

Whakawehea ngā taha e rua ki te -1. I te mea he tōraro a -1, ka huri te ahunga koreōrite.

$$x>2$$

Whakaarohia te herenga x<1 e tautuhi ana ki runga.

$$x\in \emptyset$$

Ko te otinga whakamutunga ko te whakakotahi i ngā otinga kua whiwhi.

$$x\in \left(1,2\right)$$