Whakaoti i te 1/4left(3-xright)-2>1/3x

$$\frac{ 1 }{ 4 } \left( 3-x \right) -2 > \frac{ 1 }{ 3 } x$$

Whakaoti mō x

$$x<-\frac{15}{7}$$

Ngā Upane Otinga

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

$$\frac{1}{4}\times 3+\frac{1}{4}\left(-1\right)x-2>\frac{1}{3}x$$

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

$$\frac{3}{4}+\frac{1}{4}\left(-1\right)x-2>\frac{1}{3}x$$

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

$$\frac{3}{4}-\frac{1}{4}x-2>\frac{1}{3}x$$

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{3}{4}-\frac{1}{4}x-\frac{8}{4}>\frac{1}{3}x$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{8}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-8}{4}-\frac{1}{4}x>\frac{1}{3}x$$

Tangohia te 8 i te 3, ka -5.

$$-\frac{5}{4}-\frac{1}{4}x>\frac{1}{3}x$$

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

$$-\frac{5}{4}-\frac{1}{4}x-\frac{1}{3}x>0$$

Pahekotia te -\frac{1}{4}x me -\frac{1}{3}x, ka -\frac{7}{12}x.

$$-\frac{5}{4}-\frac{7}{12}x>0$$

Me tāpiri te \frac{5}{4} ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-\frac{7}{12}x>\frac{5}{4}$$

Me whakarea ngā taha e rua ki te -\frac{12}{7}, te tau utu o -\frac{7}{12}. I te mea he tōraro a -\frac{7}{12}, ka huri te ahunga koreōrite.

$$x<\frac{5}{4}\left(-\frac{12}{7}\right)$$

Me whakarea te \frac{5}{4} ki te -\frac{12}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x<\frac{5\left(-12\right)}{4\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\left(-12\right)}{4\times 7}.

$$x<\frac{-60}{28}$$

Whakahekea te hautanga \frac{-60}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x<-\frac{15}{7}$$