Whakaoti i te 5-3/x<1

$$5- \frac{ 3 }{ x } < 1$$

Whakaoti mō x

$$x\in \left(0,\frac{3}{4}\right)$$

Ngā Upane Otinga

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 5 ki te \frac{x}{x}.

$$\frac{5x}{x}-\frac{3}{x}<1$$

Tā te mea he rite te tauraro o \frac{5x}{x} me \frac{3}{x}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5x-3}{x}<1$$

Tauwehea te x.

$$\frac{1}{x}\left(4x-3\right)<0$$

Kia tōraro te otinga, me tauaro rawa ngā tohu o te x me te x-\frac{3}{4}. Whakaarohia te tauira ina he tōrunga te x he tōraro te x-\frac{3}{4}.

$$x>0 x-\frac{3}{4}<0$$

Te otinga e whakaea i ngā koreōrite e rua ko x\in \left(0,\frac{3}{4}\right).

$$x\in \left(0,\frac{3}{4}\right)$$

Whakaarohia te tauira ina he tōrunga te x-\frac{3}{4} he tōraro te x.

$$x-\frac{3}{4}>0 x<0$$

He teka tēnei mō tētahi x ahakoa.

$$x\in \emptyset$$

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

$$x\in \left(0,\frac{3}{4}\right)$$