Answer
NOT equivalent
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequalities,
\begin{array}{l}\require{cancel}
-2t+3\ge11
\\\text{and}\\
-2t\ge14
.\end{array}
If the solutions are the same, then the given inequalities are equivalent.
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the solution of the first inequality is
\begin{array}{l}\require{cancel}
-2t+3\ge11
\\\\
-2t\ge11-3
\\\\
-2t\ge8
\\\\
t\le\dfrac{8}{-2}
\\\\
t\le-4
.\end{array}
Using the properties of inequality, the solution of the second inequality is
\begin{array}{l}\require{cancel}
-2t\ge14
\\\\
t\le\dfrac{14}{-2}
\\\\
t\le-7
.\end{array}
Since the solutions of both inequalities are NOT the same, then the given inequalities are $\text{
NOT equivalent
.}$
