Appendix A - Equations and Inequalities - Page 421: 88

The equivalent interval notation is $(\frac{1}{6},1)$

$2$ $\gt$ $- 6x + 3$ $\gt$ $- 3$ $2 - 3$ $\gt$ $- 6x$ $\gt$ $- 3 -3$ $\frac{-1}{-6}$ $\lt$ $x$ $\lt$ $\frac{-6}{-6}$ (Inequality sign reversed because of multiplication of -6) $\frac{1}{6}$ $\lt$ $x$ $\lt$ $1$ The equivalent interval notation is $(\frac{1}{6},1)$