Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 51

$t\ge4$

Using the properties of inequalities, the solution to the given inequality, $ -38\ge-9t-2 ,$ is \begin{array}{l}\require{cancel} -38+2\ge-9t \\\\ -36\ge-9t \\\\ \dfrac{-36}{-9}\le t \\\\ 4\le t \\\\ t\ge4 .\end{array}