Chapter 9 - Inequalities and Problem Solving - 9.1 Inequalities and Applications - 9.1 Exercise Set - Page 580: 11

$x\lt2$

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $ 3x+1\lt7 .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 3x+1\lt7 \\\\ 3x\lt7-1 \\\\ 3x\lt6 \\\\ x\lt\dfrac{6}{3} \\\\ x\lt2 .\end{array}