Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A13: 142

Answer

$|x-2|\gt 5$

Work Step by Step

The statement "$x$ is more than $5$ units from $2$" can be written as an inequality as follows $$ |x-2|\gt 5 .$$ Notice that we take the absolute value sign because we do not care whether the difference of $5$ is positive or negative. This can also be seen as a measure of distance -- $x$ and $2$ are more than $5$ units apart.
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.