Whakaoti i te 12(x+5)div31leq4div5

$$12(x+5) \div 31 \leq 4 \div 5$$

Whakaoti mō x

$$x\leq -\frac{44}{15}$$

Ngā Upane Otinga

Me whakarea ngā taha e rua ki te 31. Nō te mea he >0 te 31, ka noho pērā tonu te ahunga koreōrite.

$$12\left(x+5\right)\leq \frac{4}{5}\times 31$$

Whakamahia te āhuatanga tohatoha hei whakarea te 12 ki te x+5.

$$12x+60\leq \frac{4}{5}\times 31$$

Tuhia te \frac{4}{5}\times 31 hei hautanga kotahi.

$$12x+60\leq \frac{4\times 31}{5}$$

Whakareatia te 4 ki te 31, ka 124.

$$12x+60\leq \frac{124}{5}$$

Tangohia te 60 mai i ngā taha e rua.

$$12x\leq \frac{124}{5}-60$$

Me tahuri te 60 ki te hautau \frac{300}{5}.

$$12x\leq \frac{124}{5}-\frac{300}{5}$$

Tā te mea he rite te tauraro o \frac{124}{5} me \frac{300}{5}, me tango rāua mā te tango i ō raua taurunga.

$$12x\leq \frac{124-300}{5}$$

Tangohia te 300 i te 124, ka -176.

$$12x\leq -\frac{176}{5}$$

Whakawehea ngā taha e rua ki te 12. Nō te mea he >0 te 12, ka noho pērā tonu te ahunga koreōrite.

$$x\leq \frac{-\frac{176}{5}}{12}$$

Tuhia te \frac{-\frac{176}{5}}{12} hei hautanga kotahi.

$$x\leq \frac{-176}{5\times 12}$$

Whakareatia te 5 ki te 12, ka 60.

$$x\leq \frac{-176}{60}$$

Whakahekea te hautanga \frac{-176}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x\leq -\frac{44}{15}$$