Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 182: 49

$[-\frac{2}{3},2]$ See graph.

Step 1. $|3t-2|\le4$ can be separated into $-4\le 3t-2\le 4 \longrightarrow -2\le 3t\le 6 \longrightarrow -\frac{2}{3}\le t\le2$, thus we have the solution $[-\frac{2}{3},2]$ Step 2. See graph.