Whakaoti i te 8(x+10)-9<75+10(1+x)

$$8 ( x + 10 ) - 9 < 75 + 10 ( 1 + x )$$

Whakaoti mō x

$$x>-7$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te x+10.

$$8x+80-9<75+10\left(1+x\right)$$

Tangohia te 9 i te 80, ka 71.

$$8x+71<75+10\left(1+x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te 1+x.

$$8x+71<75+10+10x$$

Tāpirihia te 75 ki te 10, ka 85.

$$8x+71<85+10x$$

Tangohia te 10x mai i ngā taha e rua.

$$8x+71-10x<85$$

Pahekotia te 8x me -10x, ka -2x.

$$-2x+71<85$$

Tangohia te 71 mai i ngā taha e rua.

$$-2x<85-71$$

Tangohia te 71 i te 85, ka 14.

$$-2x<14$$

Whakawehea ngā taha e rua ki te -2. I te mea he tōraro a -2, ka huri te ahunga koreōrite.

$$x>\frac{14}{-2}$$

Whakawehea te 14 ki te -2, kia riro ko -7.

$$x>-7$$