Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 57

$t\ge\dfrac{1}{4}$

Using the properties of inequalities, the solution to the given inequality, $ -5\ge3t-4-7t ,$ is \begin{array}{l}\require{cancel} -5+4\ge3t-7t \\\\ -1\ge-4t \\\\ \dfrac{-1}{-4}\le t \\\\ \dfrac{1}{4}\le t \\\\ t\ge\dfrac{1}{4} .\end{array}