#### Answer

equivalent

#### Work Step by Step

Using the properties of inequality, the given expression, $-1\lt t,$ is equivalent to
\begin{array}{l}\require{cancel}
-1\lt t
\\\\
-t\lt 1
\\\\
-1(-t)\lt -1(1)
\\\\
t\gt -1
.\end{array}
The inequality above is the same as the other given inequality, $t\gt-1.$ Hence, the given expressions are $\text{
equivalent
.}$