Whakaoti i te 6000+75%(x-1)<80%x

$$6000+75 \% (x-1) < 80 \% x$$

Whakaoti mō x

$$x>119985$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{75}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$6000+\frac{3}{4}\left(x-1\right)<\frac{80}{100}x$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te x-1.

$$6000+\frac{3}{4}x+\frac{3}{4}\left(-1\right)<\frac{80}{100}x$$

Whakareatia te \frac{3}{4} ki te -1, ka -\frac{3}{4}.

$$6000+\frac{3}{4}x-\frac{3}{4}<\frac{80}{100}x$$

Me tahuri te 6000 ki te hautau \frac{24000}{4}.

$$\frac{24000}{4}+\frac{3}{4}x-\frac{3}{4}<\frac{80}{100}x$$

Tā te mea he rite te tauraro o \frac{24000}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{24000-3}{4}+\frac{3}{4}x<\frac{80}{100}x$$

Tangohia te 3 i te 24000, ka 23997.

$$\frac{23997}{4}+\frac{3}{4}x<\frac{80}{100}x$$

Whakahekea te hautanga \frac{80}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$\frac{23997}{4}+\frac{3}{4}x<\frac{4}{5}x$$

Tangohia te \frac{4}{5}x mai i ngā taha e rua.

$$\frac{23997}{4}+\frac{3}{4}x-\frac{4}{5}x<0$$

Pahekotia te \frac{3}{4}x me -\frac{4}{5}x, ka -\frac{1}{20}x.

$$\frac{23997}{4}-\frac{1}{20}x<0$$

Tangohia te \frac{23997}{4} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-\frac{1}{20}x<-\frac{23997}{4}$$

Me whakarea ngā taha e rua ki te -20, te tau utu o -\frac{1}{20}. I te mea he tōraro a -\frac{1}{20}, ka huri te ahunga koreōrite.

$$x>-\frac{23997}{4}\left(-20\right)$$

Tuhia te -\frac{23997}{4}\left(-20\right) hei hautanga kotahi.

$$x>\frac{-23997\left(-20\right)}{4}$$

Whakareatia te -23997 ki te -20, ka 479940.

$$x>\frac{479940}{4}$$

Whakawehea te 479940 ki te 4, kia riro ko 119985.

$$x>119985$$