Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 58

$t\le-\dfrac{16}{3}$

Using the properties of inequalities, the solution to the given inequality, $ 6\le4t-7t-10 ,$ is \begin{array}{l}\require{cancel} 6+10\le4t-7t \\\\ 16\le -3t \\\\ \dfrac{16}{-3}\ge t \\\\ t\le-\dfrac{16}{3} .\end{array}