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

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

Whakaoti mō x

$$x<\frac{5}{2}$$

Ngā Upane Otinga

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

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

Pahekotia te \frac{1}{2}x me -\frac{1}{3}x, ka \frac{1}{6}x.

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

Me tāpiri te \frac{1}{6} ki ngā taha e rua.

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

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{1}{4} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$\frac{1}{6}x<\frac{3}{12}+\frac{2}{12}$$

Tā te mea he rite te tauraro o \frac{3}{12} me \frac{2}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{6}x<\frac{3+2}{12}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{1}{6}x<\frac{5}{12}$$

Me whakarea ngā taha e rua ki te 6, te tau utu o \frac{1}{6}. I te mea he tōrunga te \frac{1}{6}, kāore e huri te ahunga koreōrite.

$$x<\frac{5}{12}\times 6$$

Tuhia te \frac{5}{12}\times 6 hei hautanga kotahi.

$$x<\frac{5\times 6}{12}$$

Whakareatia te 5 ki te 6, ka 30.

$$x<\frac{30}{12}$$

Whakahekea te hautanga \frac{30}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$x<\frac{5}{2}$$