Whakaoti i te -4/9u-2leq7/6u+1/9

$$- \frac { 4 } { 9 } u - 2 \leq \frac { 7 } { 6 } u + \frac { 1 } { 9 }$$

Whakaoti mō u

$$u\geq -\frac{38}{29}$$

Ngā Upane Otinga

Tangohia te \frac{7}{6}u mai i ngā taha e rua.

$$-\frac{4}{9}u-2-\frac{7}{6}u\leq \frac{1}{9}$$

Pahekotia te -\frac{4}{9}u me -\frac{7}{6}u, ka -\frac{29}{18}u.

$$-\frac{29}{18}u-2\leq \frac{1}{9}$$

Me tāpiri te 2 ki ngā taha e rua.

$$-\frac{29}{18}u\leq \frac{1}{9}+2$$

Me tahuri te 2 ki te hautau \frac{18}{9}.

$$-\frac{29}{18}u\leq \frac{1}{9}+\frac{18}{9}$$

Tā te mea he rite te tauraro o \frac{1}{9} me \frac{18}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{29}{18}u\leq \frac{1+18}{9}$$

Tāpirihia te 1 ki te 18, ka 19.

$$-\frac{29}{18}u\leq \frac{19}{9}$$

Me whakarea ngā taha e rua ki te -\frac{18}{29}, te tau utu o -\frac{29}{18}. I te mea he tōraro a -\frac{29}{18}, ka huri te ahunga koreōrite.

$$u\geq \frac{19}{9}\left(-\frac{18}{29}\right)$$

Me whakarea te \frac{19}{9} ki te -\frac{18}{29} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$u\geq \frac{19\left(-18\right)}{9\times 29}$$

Mahia ngā whakarea i roto i te hautanga \frac{19\left(-18\right)}{9\times 29}.

$$u\geq \frac{-342}{261}$$

Whakahekea te hautanga \frac{-342}{261} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$u\geq -\frac{38}{29}$$