Whakaoti i te 7x/3x+2<2

$$\frac { 7 x } { 3 x + 2 } < 2$$

Whakaoti mō x

$$x\in \left(-\frac{2}{3},4\right)$$

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.

$$7x<2\left(3x+2\right)$$

Whakarea te katoa o te taha matau.

$$7x<6x+4$$

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

$$7x-6x<4$$

Pahekotia ngā kīanga tau ōrite.

$$x<4$$

Whakaarohia te herenga x>-\frac{2}{3} e tautuhi ana ki runga.

$$x\in \left(-\frac{2}{3},4\right)$$

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.

$$7x>2\left(3x+2\right)$$

Whakarea te katoa o te taha matau.

$$7x>6x+4$$

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

$$7x-6x>4$$

Pahekotia ngā kīanga tau ōrite.

$$x>4$$

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.

$$x\in \left(-\frac{2}{3},4\right)$$