Whakaoti i te 2leqc(5*10)+(15*12)+(12*10)

$$2 \leq c ( 5 \times 10 ) + ( 15 \times 12 ) + ( 12 \times 10 )$$

Whakaoti mō c

$$c\geq -\frac{149}{25}$$

Ngā Upane Otinga

Whakareatia te 15 ki te 12, ka 180. Whakareatia te 12 ki te 10, ka 120.

$$2\leq c\times 5\times 10+180+120$$

Whakareatia te 5 ki te 10, ka 50.

$$2\leq c\times 50+180+120$$

Tāpirihia te 180 ki te 120, ka 300.

$$2\leq c\times 50+300$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa. Ka huri tēnei i te aronga o te tohu.

$$c\times 50+300\geq 2$$

Tangohia te 300 mai i ngā taha e rua.

$$c\times 50\geq 2-300$$

Tangohia te 300 i te 2, ka -298.

$$c\times 50\geq -298$$

Whakawehea ngā taha e rua ki te 50. I te mea he tōrunga te 50, kāore e huri te ahunga koreōrite.

$$c\geq \frac{-298}{50}$$

Whakahekea te hautanga \frac{-298}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$c\geq -\frac{149}{25}$$