Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 49

$x\lt1$

Using the properties of inequalities, the solution to the given inequality, $ -2\lt-3x+1 ,$ is \begin{array}{l}\require{cancel} -2-1\lt-3x \\\\ -3\lt-3x \\\\ \dfrac{-3}{-3}\gt x \\\\ 1\gt x \\\\ x\lt1 .\end{array}