Whakaoti i te 12-4/5(5x-15)leq4/7(14x+105)

$$12 - \frac { 4 } { 5 } ( 5 x - 15 ) \leq \frac { 4 } { 7 } ( 14 x + 105 )$$

Whakaoti mō x

$$x\geq -3$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{4}{5} ki te 5x-15.

$$12-\frac{4}{5}\times 5x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

Me whakakore te 5 me te 5.

$$12-4x-\frac{4}{5}\left(-15\right)\leq \frac{4}{7}\left(14x+105\right)$$

Tuhia te -\frac{4}{5}\left(-15\right) hei hautanga kotahi.

$$12-4x+\frac{-4\left(-15\right)}{5}\leq \frac{4}{7}\left(14x+105\right)$$

Whakareatia te -4 ki te -15, ka 60.

$$12-4x+\frac{60}{5}\leq \frac{4}{7}\left(14x+105\right)$$

Whakawehea te 60 ki te 5, kia riro ko 12.

$$12-4x+12\leq \frac{4}{7}\left(14x+105\right)$$

Tāpirihia te 12 ki te 12, ka 24.

$$24-4x\leq \frac{4}{7}\left(14x+105\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{4}{7} ki te 14x+105.

$$24-4x\leq \frac{4}{7}\times 14x+\frac{4}{7}\times 105$$

Tuhia te \frac{4}{7}\times 14 hei hautanga kotahi.

$$24-4x\leq \frac{4\times 14}{7}x+\frac{4}{7}\times 105$$

Whakareatia te 4 ki te 14, ka 56.

$$24-4x\leq \frac{56}{7}x+\frac{4}{7}\times 105$$

Whakawehea te 56 ki te 7, kia riro ko 8.

$$24-4x\leq 8x+\frac{4}{7}\times 105$$

Tuhia te \frac{4}{7}\times 105 hei hautanga kotahi.

$$24-4x\leq 8x+\frac{4\times 105}{7}$$

Whakareatia te 4 ki te 105, ka 420.

$$24-4x\leq 8x+\frac{420}{7}$$

Whakawehea te 420 ki te 7, kia riro ko 60.

$$24-4x\leq 8x+60$$

Tangohia te 8x mai i ngā taha e rua.

$$24-4x-8x\leq 60$$

Pahekotia te -4x me -8x, ka -12x.

$$24-12x\leq 60$$

Tangohia te 24 mai i ngā taha e rua.

$$-12x\leq 60-24$$

Tangohia te 24 i te 60, ka 36.

$$-12x\leq 36$$

Whakawehea ngā taha e rua ki te -12. Nō te mea he <0 te -12, ka hurihia te ahunga koreōrite.

$$x\geq \frac{36}{-12}$$

Whakawehea te 36 ki te -12, kia riro ko -3.

$$x\geq -3$$