Whakaoti i te -2(x-4)<5(x-1)

$$- 2 ( x - 4 ) < 5 ( x - 1 )$$

Whakaoti mō x

$$x>\frac{13}{7}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-4.

$$-2x+8<5\left(x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x-1.

$$-2x+8<5x-5$$

Tangohia te 5x mai i ngā taha e rua.

$$-2x+8-5x<-5$$

Pahekotia te -2x me -5x, ka -7x.

$$-7x+8<-5$$

Tangohia te 8 mai i ngā taha e rua.

$$-7x<-5-8$$

Tangohia te 8 i te -5, ka -13.

$$-7x<-13$$

Whakawehea ngā taha e rua ki te -7. I te mea he tōraro a -7, ka huri te ahunga koreōrite.

$$x>\frac{-13}{-7}$$

Ka taea te hautanga \frac{-13}{-7} te whakamāmā ki te \frac{13}{7} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x>\frac{13}{7}$$