Answer
$t\le-\dfrac{16}{3}$
Work Step by Step
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}