Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 57: 115

Answer

The two solutions are $x=4.01$ and $x=3.99$

Work Step by Step

$|x-4|=0.01$ By the definition of absolute value, solving this equation is equivalent to solving two separate equations, which are $x-4=0.01$ and $x-4=-0.01$ Solve both equations for $x$: $x-4=0.01$ $x=4+0.01$ $x=4.01$ $x-4=-0.01$ $x=4-0.01$ $x=3.99$ The two solutions are $x=4.01$ and $x=3.99$
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.