Answer
{$-5,5$}
Work Step by Step
Step 1: $|z|+4=9$
Step 2: Subtracting $4$ to both sides, $|z|+4-4=9-4$
Step 3: $|z|=5$
Step 4: Using the absolute value property, $z=5$ or $z=-5$
Step 5: Therefore, the solution set is {$-5,5$}
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Appendix D - Exercise Set - Page 994: 17
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