Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.4 Linear Inequalities in One Variable - Concept and Vocabulary Check - Page 383: 4



Work Step by Step

Read and observe the following situation: $1 \lt 3$ Multiplying $-2$ to both $1$ and $3$ gives $-2$ and $-6$, respectively. Note that $-2 \gt -6$. Notice that when a negative real number is multiplied to both sides of an inequality, the inequality symbol changes to the opposite direction (or flips). Thus, the missing expression in the given statement is $\underline{\text{negative}}$.
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