Whakaoti i te -3(x+4)>7x-4(x-4)+6

$$- 3 ( x + 4 ) > 7 x - 4 ( x - 4 ) + 6$$

Whakaoti mō x

$$x<-\frac{17}{3}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te x+4.

$$-3x-12>7x-4\left(x-4\right)+6$$

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

$$-3x-12>7x-4x+16+6$$

Pahekotia te 7x me -4x, ka 3x.

$$-3x-12>3x+16+6$$

Tāpirihia te 16 ki te 6, ka 22.

$$-3x-12>3x+22$$

Tangohia te 3x mai i ngā taha e rua.

$$-3x-12-3x>22$$

Pahekotia te -3x me -3x, ka -6x.

$$-6x-12>22$$

Me tāpiri te 12 ki ngā taha e rua.

$$-6x>22+12$$

Tāpirihia te 22 ki te 12, ka 34.

$$-6x>34$$

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

$$x<\frac{34}{-6}$$

Whakahekea te hautanga \frac{34}{-6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x<-\frac{17}{3}$$