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

$\left(-\infty,14 \right)$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $3\lt5-\dfrac{t}{7} .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 3\lt5-\dfrac{t}{7} \\\\ 7(3)\lt7\left( 5-\dfrac{t}{7} \right) \\\\ 21\lt35-t \\\\ t\lt35-21 \\\\ t\lt14 .\end{array} Hence, the solution set is $\left(-\infty,14 \right) .$