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: 54

Answer

$\lt$

Work Step by Step

The Multiplication Property of Inequality states that if a negative number $c$ is multiplied to each side of $a \gt b$, then $ac \lt bc$. Thus, if $-\frac{1}{4}x \gt 1$, then, multiplying $-4$ to each side of the inequality gives: $-4 (-\frac{1}{4}x) \lt -4(1) \\x \lt -4$ Thus, the missing inequality symbol in the given statement is $\lt$.
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