Answer
$t\ge4$
Work Step by Step
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}