Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Concept and Vocabulary Check - Page 137: 6


Fill the blanks with adding 4 dividing -3 inequality symbol (or, direction of the inequality) $\gt $ $ \lt $

Work Step by Step

The idea is to isolate x on one side. Adding, subtracting or multiplying/dividing with a positive number preserves the order (the inequality symbol remains). Multiplying/dividing with a negative number inverts the order (the inequality symbol changes) --- $-3x-4 \gt 5 \qquad ...$ add 4 to both sides $-3x \gt 9 \qquad $ ... divide both sides with $-3$ (negative!) $ x \lt -3$
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