Whakaoti i te (x-160)*200+(x-170)*400/100000geq02

$$\frac { ( x - 160 ) \times 200 + ( x - 170 ) \times 400 } { 100000 } \geq 02$$

Whakaoti mō x

$$x\geq \frac{500}{3}$$

Ngā Upane Otinga

Whakareatia ngā taha e rua o te whārite ki te 100000. I te mea he tōrunga te 100000, kāore e huri te ahunga koreōrite.

$$\left(x-160\right)\times 200+\left(x-170\right)\times 400\geq 0\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-160 ki te 200.

$$200x-32000+\left(x-170\right)\times 400\geq 0\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-170 ki te 400.

$$200x-32000+400x-68000\geq 0\times 2$$

Pahekotia te 200x me 400x, ka 600x.

$$600x-32000-68000\geq 0\times 2$$

Tangohia te 68000 i te -32000, ka -100000.

$$600x-100000\geq 0\times 2$$

Whakareatia te 0 ki te 2, ka 0.

$$600x-100000\geq 0$$

Me tāpiri te 100000 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$600x\geq 100000$$

Whakawehea ngā taha e rua ki te 600. I te mea he tōrunga te 600, kāore e huri te ahunga koreōrite.

$$x\geq \frac{100000}{600}$$

Whakahekea te hautanga \frac{100000}{600} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 200.

$$x\geq \frac{500}{3}$$