Answer
$t\ge15$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
6t+14\le8t-16
,$ is
\begin{array}{l}\require{cancel}
6t-8t\le-16-14
\\\\
-2t\le-30
\\\\
t\ge\dfrac{-30}{-2}
\\\\
t\ge15
.\end{array}