Whakaoti i te -6(2x-3)leq-3(2-x)

$$- 6 ( 2 x - 3 ) \leq - 3 ( 2 - x )$$

Whakaoti mō x

$$x\geq \frac{8}{5}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te 2x-3.

$$-12x+18\leq -3\left(2-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 2-x.

$$-12x+18\leq -6+3x$$

Tangohia te 3x mai i ngā taha e rua.

$$-12x+18-3x\leq -6$$

Pahekotia te -12x me -3x, ka -15x.

$$-15x+18\leq -6$$

Tangohia te 18 mai i ngā taha e rua.

$$-15x\leq -6-18$$

Tangohia te 18 i te -6, ka -24.

$$-15x\leq -24$$

Whakawehea ngā taha e rua ki te -15. I te mea he tōraro a -15, ka huri te ahunga koreōrite.

$$x\geq \frac{-24}{-15}$$

Whakahekea te hautanga \frac{-24}{-15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -3.

$$x\geq \frac{8}{5}$$