Answer
equivalent inequalities
Work Step by Step
$\bf{\text{Solution Outline:}}$
Solve the solution sets of the given statements,
\begin{array}{l}\require{cancel}
-\dfrac{1}{3}t\le-5
\\\text{and}\\
t\ge15
.\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}
-\dfrac{1}{3}t\le-5
\\\\
-3\left( -\dfrac{1}{3}t \right)\le-3(-5)
\\\\
t\ge15
.\end{array}
Since this is the same as second given inequality, then the given are $\text{
equivalent inequalities
.}$
