Whakaoti i te 3x-3/x+5leq2

$$\frac { 3 x - 3 } { x + 5 } \leq 2$$

Whakaoti mō x

$$x\in (-5,13]$$

Ngā Upane Otinga

Kāore e taea a te tauraro x+5 te numa kore nā te mea kāore te rituatanga mā te kore e tautuhi. E rua ngā kēhi.

$$x+5>0 x+5<0$$

Whakaarohia te kēhi i ngā wā kei te tōrunga a x+5. Neke atu a 5 ki te taha matau.

$$x>-5$$

Kāore te tōrite tuatahi e whakarerekē te aronga ina e whakarea ana mā x+5 mō x+5>0.

$$3x-3\leq 2\left(x+5\right)$$

Whakarea te katoa o te taha matau.

$$3x-3\leq 2x+10$$

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

$$3x-2x\leq 3+10$$

Pahekotia ngā kīanga tau ōrite.

$$x\leq 13$$

Whakaarohia te herenga x>-5 e tautuhi ana ki runga.

$$x\in (-5,13]$$

Tēnā, me whakaarohia te tauira ina e tōraro a x+5. Neke atu a 5 ki te taha matau.

$$x<-5$$

E whakarerekē ana te aronga o te tōrite tuatahi hei ngā wā e whakarea ana a x+5 mō x+5<0.

$$3x-3\geq 2\left(x+5\right)$$

Whakarea te katoa o te taha matau.

$$3x-3\geq 2x+10$$

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

$$3x-2x\geq 3+10$$

Pahekotia ngā kīanga tau ōrite.

$$x\geq 13$$

Whakaarohia te herenga x<-5 e tautuhi ana ki runga.

$$x\in \emptyset$$

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

$$x\in (-5,13]$$