$\begin{array}{l} \left| {{x^2} + x - 2} \right| < - x + 1\\ \Leftrightarrow x - 1 < {x^2} + x - 2 < - x + 1\\ \Leftrightarrow \left\{ \begin{array}{l} {x^2} - 1 > 0\\ {x^2} + 2x - 3 < 0 \end{array} \right. \Leftrightarrow \left\{ \begin{array}{l} \left[ \begin{array}{l} x > 1\\ x < - 1 \end{array} \right.\\ - 3 < x < 1 \end{array} \right. \Rightarrow - 3 < x < - 1 \end{array}$
