Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.5 - Compound Inequalities - Exercise Set - Page 94: 38


$(-\infty, -4] \cup [-3, +\infty)$ Refer to the image below for the graph.

Work Step by Step

Graph each inequality. (refer to the attached image below) The conjunction used is OR, which means that the solution set contains the combined elements of the two inequalities. $x \ge -3$ includes all the numbers to the right of -3, including -3 itself $\\x \le -4$ includes all the numbers to the left of -4, including -4 itself Combining the elements of these two inequalities gives the solution set: $(-\infty, -4] \cup [-3, +\infty)$
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