Whakaoti i te x/100*05+(3600-x)div200*12<40

$$\frac{ x }{ 100 } \times 05+(3600-x) \div 200 \times 12 < 40$$

Whakaoti mō x

$$x>\frac{8800}{3}$$

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 200, arā, te tauraro pātahi he tino iti rawa te kitea o 100,200. I te mea he tōrunga te 200, kāore e huri te ahunga koreōrite.

$$2x\times 0\times 5+\left(3600-x\right)\times 12<8000$$

Whakareatia te 2 ki te 0, ka 0.

$$0x\times 5+\left(3600-x\right)\times 12<8000$$

Whakareatia te 0 ki te 5, ka 0.

$$0x+\left(3600-x\right)\times 12<8000$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0+\left(3600-x\right)\times 12<8000$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3600-x ki te 12.

$$0+43200-12x<8000$$

Tāpirihia te 0 ki te 43200, ka 43200.

$$43200-12x<8000$$

Tangohia te 43200 mai i ngā taha e rua.

$$-12x<8000-43200$$

Tangohia te 43200 i te 8000, ka -35200.

$$-12x<-35200$$

Whakawehea ngā taha e rua ki te -12. I te mea he tōraro a -12, ka huri te ahunga koreōrite.

$$x>\frac{-35200}{-12}$$

Whakahekea te hautanga \frac{-35200}{-12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -4.

$$x>\frac{8800}{3}$$