Whakaoti i te 4x+1/3<1/6+2

$$4 x + \frac { 1 } { 3 } < \frac { 1 } { 6 } + 2$$

Whakaoti mō x

$$x<\frac{11}{24}$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{12}{6}.

$$4x+\frac{1}{3}<\frac{1}{6}+\frac{12}{6}$$

Tā te mea he rite te tauraro o \frac{1}{6} me \frac{12}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$4x+\frac{1}{3}<\frac{1+12}{6}$$

Tāpirihia te 1 ki te 12, ka 13.

$$4x+\frac{1}{3}<\frac{13}{6}$$

Tangohia te \frac{1}{3} mai i ngā taha e rua.

$$4x<\frac{13}{6}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{13}{6} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$4x<\frac{13}{6}-\frac{2}{6}$$

Tā te mea he rite te tauraro o \frac{13}{6} me \frac{2}{6}, me tango rāua mā te tango i ō raua taurunga.

$$4x<\frac{13-2}{6}$$

Tangohia te 2 i te 13, ka 11.

$$4x<\frac{11}{6}$$

Whakawehea ngā taha e rua ki te 4. I te mea he tōrunga te 4, kāore e huri te ahunga koreōrite.

$$x<\frac{\frac{11}{6}}{4}$$

Tuhia te \frac{\frac{11}{6}}{4} hei hautanga kotahi.

$$x<\frac{11}{6\times 4}$$

Whakareatia te 6 ki te 4, ka 24.

$$x<\frac{11}{24}$$