Whakaoti i te 17(2+2x)geq4(-x-10)

$$17 ( 2 + 2 x ) \geq 4 ( - x - 10 )$$

Whakaoti mō x

$$x\geq -\frac{37}{19}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 17 ki te 2+2x.

$$34+34x\geq 4\left(-x-10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te -x-10.

$$34+34x\geq 4\left(-x\right)-40$$

Tangohia te 4\left(-x\right) mai i ngā taha e rua.

$$34+34x-4\left(-x\right)\geq -40$$

Whakareatia te -1 ki te 4, ka -4.

$$34+34x-4\left(-1\right)x\geq -40$$

Whakareatia te -4 ki te -1, ka 4.

$$34+34x+4x\geq -40$$

Pahekotia te 34x me 4x, ka 38x.

$$34+38x\geq -40$$

Tangohia te 34 mai i ngā taha e rua.

$$38x\geq -40-34$$

Tangohia te 34 i te -40, ka -74.

$$38x\geq -74$$

Whakawehea ngā taha e rua ki te 38. I te mea he tōrunga te 38, kāore e huri te ahunga koreōrite.

$$x\geq \frac{-74}{38}$$

Whakahekea te hautanga \frac{-74}{38} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x\geq -\frac{37}{19}$$