Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Principles of Problem Solving - Problems - Page 102: 1


$-7/3$ and $9$

Work Step by Step

Getting rid of the absolute value sign, $$2x-1-x-5=3$$ OR $$2x-1+x+5=3$$ OR $$1-2x+x+5=3$$ OR $$1-2x-x-5=3$$ This is because the absolute value of $x$ can either equal $x$ or $-x$ Solving the first equation gives $x=9$ Solving the 2nd gives $3x+4=3$ or $x=-1/3$ Solving the 3rd gives $-x=-3$ or $x=3$ Solving the 4th gives $-3x = 7$ or $x=-7/3$ Back solving shows us that only $-7/3$ and $9$ work as x values.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.