Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.1 Functions - 2.1 Assess Your Understanding - Page 56: 4


$x\lt-1$ Refer to the step-by-step part above for the graph.

Work Step by Step

Solve the inequality to obtain: $3-2x\gt5\\ (3-2x)-3\gt5-3\\ -2x\gt2$ Divide both sides by $-2$. Note that the inequality symbol will change to tis opposite direction since a negative number was divided to both sides of the inequality. $\frac{-2x}{-2} \lt \frac{2}{-2}\\ x\lt-1$ Refer to the graph below,
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