Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 134: 7

$\lt$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $-2t\gt-14 .$ Use the resulting solution to complete the relationship of $t \text{ and } 7 .$ $\bf{\text{Solution Details:}}$ Dividing both sides by a negative number (and consequently reversing the inequality symbol) \begin{array}{l}\require{cancel} -2t\gt-14 \\\\ \dfrac{-2t}{-2}\gt\dfrac{-14}{-2} \\\\ t\lt7 .\end{array} Hence, the symbol that completes the relationship of $t$ and $7$ is $" \lt ".$

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