College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 127: 51



Work Step by Step

The Multiplication Property of Inequality states that if a posirive number $c$ is multiplied to each side of $a \gt b$, then $ac \gt bc$. Thus, if $2x \gt 6$, then, multiplying $\frac{1}{2}$ to each side of the inequality gives: $2x(\frac{1}{2}) \gt 6(\frac{1}{2}) \\x \gt 3$ Thus, the missing inequality symbol in the given statement is $\gt$.
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