Whakaoti mō x
x\in \left(-\infty,-\frac{3}{2}\right)\cup \left(2,\infty\right)
Graph
Pātaitai
Algebra
\frac{ 2x+3 }{ x-2 } > 0
Tohaina
Kua tāruatia ki te papatopenga
2x+3<0 x-2<0
Kia tōrunga ai te otinga, hei tōraro tahi a 2x+3 me x-2, hei tōrunga tahi rānei. Whakaarohia te tauira ina he tōraro tahi te 2x+3 me te x-2.
x<-\frac{3}{2}
Te otinga e whakaea i ngā koreōrite e rua ko x<-\frac{3}{2}.
x-2>0 2x+3>0
Whakaarohia te tauira ina he tōrunga tahi te 2x+3 me te x-2.
x>2
Te otinga e whakaea i ngā koreōrite e rua ko x>2.
x<-\frac{3}{2}\text{; }x>2
Ko te otinga whakamutunga ko te whakakotahi i ngā otinga kua whiwhi.
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