Whakaoti i te 1/2t-3/4<-2/5t+3/5

$$\frac { 1 } { 2 } t - \frac { 3 } { 4 } < - \frac { 2 } { 5 } t + \frac { 3 } { 5 }$$

Whakaoti mō t

$$t<\frac{3}{2}$$

Ngā Upane Otinga

Me tāpiri te \frac{2}{5}t ki ngā taha e rua.

$$\frac{1}{2}t-\frac{3}{4}+\frac{2}{5}t<\frac{3}{5}$$

Pahekotia te \frac{1}{2}t me \frac{2}{5}t, ka \frac{9}{10}t.

$$\frac{9}{10}t-\frac{3}{4}<\frac{3}{5}$$

Me tāpiri te \frac{3}{4} ki ngā taha e rua.

$$\frac{9}{10}t<\frac{3}{5}+\frac{3}{4}$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{3}{5} me \frac{3}{4} ki te hautau me te tautūnga 20.

$$\frac{9}{10}t<\frac{12}{20}+\frac{15}{20}$$

Tā te mea he rite te tauraro o \frac{12}{20} me \frac{15}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9}{10}t<\frac{12+15}{20}$$

Tāpirihia te 12 ki te 15, ka 27.

$$\frac{9}{10}t<\frac{27}{20}$$

Me whakarea ngā taha e rua ki te \frac{10}{9}, te tau utu o \frac{9}{10}. I te mea he tōrunga te \frac{9}{10}, kāore e huri te ahunga koreōrite.

$$t<\frac{27}{20}\times \frac{10}{9}$$

Me whakarea te \frac{27}{20} ki te \frac{10}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$t<\frac{27\times 10}{20\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{27\times 10}{20\times 9}.

$$t<\frac{270}{180}$$

Whakahekea te hautanga \frac{270}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 90.

$$t<\frac{3}{2}$$