Whakaoti i te 1/2y-1/8>3/4+6/5y

$$\frac { 1 } { 2 } y - \frac { 1 } { 8 } > \frac { 3 } { 4 } + \frac { 6 } { 5 } y$$

Whakaoti mō y

$$y<-\frac{5}{4}$$

Ngā Upane Otinga

Tangohia te \frac{6}{5}y mai i ngā taha e rua.

$$\frac{1}{2}y-\frac{1}{8}-\frac{6}{5}y>\frac{3}{4}$$

Pahekotia te \frac{1}{2}y me -\frac{6}{5}y, ka -\frac{7}{10}y.

$$-\frac{7}{10}y-\frac{1}{8}>\frac{3}{4}$$

Me tāpiri te \frac{1}{8} ki ngā taha e rua.

$$-\frac{7}{10}y>\frac{3}{4}+\frac{1}{8}$$

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{3}{4} me \frac{1}{8} ki te hautau me te tautūnga 8.

$$-\frac{7}{10}y>\frac{6}{8}+\frac{1}{8}$$

Tā te mea he rite te tauraro o \frac{6}{8} me \frac{1}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{7}{10}y>\frac{6+1}{8}$$

Tāpirihia te 6 ki te 1, ka 7.

$$-\frac{7}{10}y>\frac{7}{8}$$

Me whakarea ngā taha e rua ki te -\frac{10}{7}, te tau utu o -\frac{7}{10}. I te mea he tōraro a -\frac{7}{10}, ka huri te ahunga koreōrite.

$$y<\frac{7}{8}\left(-\frac{10}{7}\right)$$

Me whakarea te \frac{7}{8} ki te -\frac{10}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$y<\frac{7\left(-10\right)}{8\times 7}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$y<\frac{-10}{8}$$

Whakahekea te hautanga \frac{-10}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$y<-\frac{5}{4}$$