Answer
$t\gt1$
Work Step by Step
Remember that when we divide or multiply an inequality by a negative, we have to flip the sign of the inequality. Using the properties of inequality, the solution to the given inequality, $
1.7t+8-1.62t\lt0.4t-0.32+8
,$ is
\begin{array}{l}\require{cancel}
1.7t-1.62t-0.4t\lt-0.32+8-8
\\\\
-0.32t\lt-0.32
\\\\
t\gt\dfrac{-0.32}{-0.32}
\\\\
t\gt1
.\end{array}
