Answer
not equivalent
Work Step by Step
$\bf{\text{Solution Outline:}}$
Solve the solution sets of the given statements,
\begin{array}{l}\require{cancel}
-4t\le12
\\\text{and}\\
t\le-3
.\end{array}
If the solution sets are the same, then they are equivalent. Otherwise, they are not equivalent.
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the solution of the first inequality is
\begin{array}{l}\require{cancel}
-4t\le12
\\\\
t\ge\dfrac{12}{-4}
\\\\
t\ge-3
.\end{array}
Since this is different from the second given inequality, then the given are $\text{
not equivalent
.}$
