Whakaoti i te 4x/1x-21-1geq3

$$\frac { 4 x } { 1 x - 21 - 1 } \geq 3$$

Whakaoti mō x

$$x\in (-\infty,-66]\cup (22,\infty)$$

Ngā Upane Otinga

Tangohia te 1 i te -21, ka -22.

$$\frac{4x}{1x-22}\geq 3$$

Kāore e taea a te tauraro x-22 te numa kore nā te mea kāore te rituatanga mā te kore e tautuhi. E rua ngā kēhi.

$$x-22>0 x-22<0$$

Whakaarohia te kēhi i ngā wā kei te tōrunga a x-22. Neke atu a -22 ki te taha matau.

$$x>22$$

Kāore te tōrite tuatahi e whakarerekē te aronga ina e whakarea ana mā x-22 mō x-22>0.

$$4x\geq 3\left(x-22\right)$$

Whakarea te katoa o te taha matau.

$$4x\geq 3x-66$$

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

$$4x-3x\geq -66$$

Pahekotia ngā kīanga tau ōrite.

$$x\geq -66$$

Whakaarohia te herenga x>22 e tautuhi ana ki runga.

$$x>22$$

Tēnā, me whakaarohia te tauira ina e tōraro a x-22. Neke atu a -22 ki te taha matau.

$$x<22$$

E whakarerekē ana te aronga o te tōrite tuatahi hei ngā wā e whakarea ana a x-22 mō x-22<0.

$$4x\leq 3\left(x-22\right)$$

Whakarea te katoa o te taha matau.

$$4x\leq 3x-66$$

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

$$4x-3x\leq -66$$

Pahekotia ngā kīanga tau ōrite.

$$x\leq -66$$

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

$$x\in (-\infty,-66]\cup (22,\infty)$$