Whakaoti i te 4x+2/5>6x-1

$$4 x + \frac { 2 } { 5 } > 6 x - 1$$

Whakaoti mō x

$$x<\frac{7}{10}$$

Ngā Upane Otinga

Tangohia te 6x mai i ngā taha e rua.

$$4x+\frac{2}{5}-6x>-1$$

Pahekotia te 4x me -6x, ka -2x.

$$-2x+\frac{2}{5}>-1$$

Tangohia te \frac{2}{5} mai i ngā taha e rua.

$$-2x>-1-\frac{2}{5}$$

Me tahuri te -1 ki te hautau -\frac{5}{5}.

$$-2x>-\frac{5}{5}-\frac{2}{5}$$

Tā te mea he rite te tauraro o -\frac{5}{5} me \frac{2}{5}, me tango rāua mā te tango i ō raua taurunga.

$$-2x>\frac{-5-2}{5}$$

Tangohia te 2 i te -5, ka -7.

$$-2x>-\frac{7}{5}$$

Whakawehea ngā taha e rua ki te -2. I te mea he tōraro a -2, ka huri te ahunga koreōrite.

$$x<\frac{-\frac{7}{5}}{-2}$$

Tuhia te \frac{-\frac{7}{5}}{-2} hei hautanga kotahi.

$$x<\frac{-7}{5\left(-2\right)}$$

Whakareatia te 5 ki te -2, ka -10.

$$x<\frac{-7}{-10}$$

Ka taea te hautanga \frac{-7}{-10} te whakamāmā ki te \frac{7}{10} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x<\frac{7}{10}$$