Whakaoti i te 6000+(1-25%)*6000(x-1)<(1-20%)*6000x

$$6000+(1-25 \% ) \times 6000(x-1) < (1-20 \% ) \times 6000x$$

Whakaoti mō x

$$x>5$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{25}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$6000+\left(1-\frac{1}{4}\right)\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$6000+\left(\frac{4}{4}-\frac{1}{4}\right)\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

Tā te mea he rite te tauraro o \frac{4}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$6000+\frac{4-1}{4}\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

Tangohia te 1 i te 4, ka 3.

$$6000+\frac{3}{4}\times 6000\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

Tuhia te \frac{3}{4}\times 6000 hei hautanga kotahi.

$$6000+\frac{3\times 6000}{4}\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

Whakareatia te 3 ki te 6000, ka 18000.

$$6000+\frac{18000}{4}\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

Whakawehea te 18000 ki te 4, kia riro ko 4500.

$$6000+4500\left(x-1\right)<\left(1-\frac{20}{100}\right)\times 6000x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4500 ki te x-1.

$$6000+4500x-4500<\left(1-\frac{20}{100}\right)\times 6000x$$

Tangohia te 4500 i te 6000, ka 1500.

$$1500+4500x<\left(1-\frac{20}{100}\right)\times 6000x$$

Whakahekea te hautanga \frac{20}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$1500+4500x<\left(1-\frac{1}{5}\right)\times 6000x$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$1500+4500x<\left(\frac{5}{5}-\frac{1}{5}\right)\times 6000x$$

Tā te mea he rite te tauraro o \frac{5}{5} me \frac{1}{5}, me tango rāua mā te tango i ō raua taurunga.

$$1500+4500x<\frac{5-1}{5}\times 6000x$$

Tangohia te 1 i te 5, ka 4.

$$1500+4500x<\frac{4}{5}\times 6000x$$

Tuhia te \frac{4}{5}\times 6000 hei hautanga kotahi.

$$1500+4500x<\frac{4\times 6000}{5}x$$

Whakareatia te 4 ki te 6000, ka 24000.

$$1500+4500x<\frac{24000}{5}x$$

Whakawehea te 24000 ki te 5, kia riro ko 4800.

$$1500+4500x<4800x$$

Tangohia te 4800x mai i ngā taha e rua.

$$1500+4500x-4800x<0$$

Pahekotia te 4500x me -4800x, ka -300x.

$$1500-300x<0$$

Tangohia te 1500 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-300x<-1500$$

Whakawehea ngā taha e rua ki te -300. I te mea he tōraro a -300, ka huri te ahunga koreōrite.

$$x>\frac{-1500}{-300}$$

Whakawehea te -1500 ki te -300, kia riro ko 5.

$$x>5$$