## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$t\gt1$
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}