Without using a calculator, solve the inequality $\frac{3{{x}^{2}}}{1-2x}1$. Hence solve \(\fr

Question

Without using a calculator, solve the inequality $\frac{3{{x}^{2}}}{1-2x}>1$. Hence solve $\frac{3{{x}^{2}}}{1-2\left| x \right|}>1$.[5]

Accepted Answer

$x<-1$ or $\frac{1}{3}< x < \frac{1}{2}$; $-\frac{1}{2}< x < -\frac{1}{3}$ or $\frac{1}{3}< x < \frac{1}{2}$

2015 TJC P1 Q3