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

$\text{Set Builder Notation: } \left\{ t|t\lt23 \right\} \\\text{Interval Notation: } \left( -\infty,23 \right)$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $-23\lt-t .$ Write the answer in both set-builder notation and interval notation. Finally, graph the solution set. In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot is used for $\le$ or $\ge.$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given equation is equivalent to \begin{array}{l}\require{cancel} -23\lt-t \\\\ t\lt23 .\end{array} Hence, the solution set is \begin{array}{l}\require{cancel} \text{Set Builder Notation: } \left\{ t|t\lt23 \right\} \\\text{Interval Notation: } \left( -\infty,23 \right) .\end{array}