Whakaoti i te 2left(1*5x-2*1right)+1*7geq2left(2*4x-3*5right)

$$2 \left( 1 \cdot 5x-2 \cdot 1 \right) +1 \cdot 7 \geq 2 \left( 2 \cdot 4x-3 \cdot 5 \right)$$

Whakaoti mō x

$$x\leq \frac{11}{2}$$

Ngā Upane Otinga

Whakareatia te 1 ki te 5, ka 5.

$$2\left(5x-2\times 1\right)+1\times 7\geq 2\left(2\times 4x-3\times 5\right)$$

Whakareatia te 2 ki te 1, ka 2.

$$2\left(5x-2\right)+1\times 7\geq 2\left(2\times 4x-3\times 5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 5x-2.

$$10x-4+1\times 7\geq 2\left(2\times 4x-3\times 5\right)$$

Whakareatia te 1 ki te 7, ka 7.

$$10x-4+7\geq 2\left(2\times 4x-3\times 5\right)$$

Tāpirihia te -4 ki te 7, ka 3.

$$10x+3\geq 2\left(2\times 4x-3\times 5\right)$$

Whakareatia te 2 ki te 4, ka 8.

$$10x+3\geq 2\left(8x-3\times 5\right)$$

Whakareatia te 3 ki te 5, ka 15.

$$10x+3\geq 2\left(8x-15\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 8x-15.

$$10x+3\geq 16x-30$$

Tangohia te 16x mai i ngā taha e rua.

$$10x+3-16x\geq -30$$

Pahekotia te 10x me -16x, ka -6x.

$$-6x+3\geq -30$$

Tangohia te 3 mai i ngā taha e rua.

$$-6x\geq -30-3$$

Tangohia te 3 i te -30, ka -33.

$$-6x\geq -33$$

Whakawehea ngā taha e rua ki te -6. I te mea he tōraro a -6, ka huri te ahunga koreōrite.

$$x\leq \frac{-33}{-6}$$

Whakahekea te hautanga \frac{-33}{-6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -3.

$$x\leq \frac{11}{2}$$