Without using a calculator, solve the inequality

$\frac{{{x}^{2}}+x+1}{{{x}^{2}}+x-2}<0$.[4]

Question

Without using a calculator, solve the inequality $\frac{{{x}^{2}}+x+1}{{{x}^{2}}+x-2}[4]

Accepted Answer

$-2<x<1$

N2011 P1 Q1