Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 52

$t\ge-5$

Using the properties of inequalities, the solution to the given inequality, $ 36\ge-7t+1 ,$ is \begin{array}{l}\require{cancel} 36-1\ge-7t \\\\ 35\ge-7t \\\\ \dfrac{35}{-7}\le t \\\\ -5\le t \\\\ t\ge-5 .\end{array}