Answer
$t\le11$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
2t+9\ge4t-13
,$ is
\begin{array}{l}\require{cancel}
2t-4t\ge-13-9
\\\\
-2t\ge-22
\\\\
t\le\dfrac{-22}{-2}
\\\\
t\le11
.\end{array}