Whakaoti i te 2x/3x-2>1

$$\frac { 2 x } { 3 x - 2 } > 1$$

Whakaoti mō x

$$x\in \left(\frac{2}{3},2\right)$$

Ngā Upane Otinga

Kāore e taea a te tauraro 3x-2 te numa kore nā te mea kāore te rituatanga mā te kore e tautuhi. E rua ngā kēhi.

$$3x-2>0 3x-2<0$$

Whakaarohia te kēhi i ngā wā kei te tōrunga a 3x-2. Neke atu a -2 ki te taha matau.

$$3x>2$$

Whakawehea ngā taha e rua ki te 3. I te mea he tōrunga te 3, kāore e huri te ahunga koreōrite.

$$x>\frac{2}{3}$$

Kāore te tōrite tuatahi e whakarerekē te aronga ina e whakarea ana mā 3x-2 mō 3x-2>0.

$$2x>3x-2$$

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

$$2x-3x>-2$$

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>\frac{2}{3} e tautuhi ana ki runga.

$$x\in \left(\frac{2}{3},2\right)$$

Tēnā, me whakaarohia te tauira ina e tōraro a 3x-2. Neke atu a -2 ki te taha matau.

$$3x<2$$

Whakawehea ngā taha e rua ki te 3. I te mea he tōrunga te 3, kāore e huri te ahunga koreōrite.

$$x<\frac{2}{3}$$

E whakarerekē ana te aronga o te tōrite tuatahi hei ngā wā e whakarea ana a 3x-2 mō 3x-2<0.

$$2x<3x-2$$

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

$$2x-3x<-2$$

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<\frac{2}{3} e tautuhi ana ki runga.

$$x\in \emptyset$$

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

$$x\in \left(\frac{2}{3},2\right)$$