Chapter 1 - Review Exercises - Page 145: 34

{$x|x\lt-1$ or $x\gt\frac{7}{3}$}

We simplify as follows: $1-|2-3x|\lt-4$ $-|2-3x|\lt-5$ $|2-3x|\gt5$ $2-3x\lt-5$ or $2-3x\gt5$ $-3x\lt-7$ or $-3x\gt3$ $-x\lt-\frac{7}{3}$ or $-x\gt1$ $x\gt\frac{7}{3}$ or $x\lt-1$ {$x|x\lt-1$ or $x\gt\frac{7}{3}$}