Answer
$t\le-4$
Work Step by Step
Using the Distributive Property and the properties of inequality, the solution to the given inequality, $
3(t-2)\ge9(t+2)
,$ is
\begin{array}{l}\require{cancel}
3(t)+3(-2)\ge9(t)+9(2)
\\\\
3t-6\ge9t+18
\\\\
3t-9t\ge18+6
\\\\
-6t\ge24
\\\\
t\le\dfrac{24}{-6}
\\\\
t\le-4
.\end{array}