Skip to main content

Menu

Lessons
Problems
Calculator
Search
Blog
Purchase
Login

Problems

Primary tabs

View
Problems(active tab)

Prove that $|xa|\left|\frac{1}{x}-\frac{1}{a}\right|=|x-a|.$
Prove that $|ab|=|a|\,|b|$ .
Prove that $|a|=0$ if and only if $a=0$ .
Prove the triangle inequality.
Prove that $a\,b\leq|a|\,|b|$ for all real numbers $a$ and $b$ .
Prove that $||a|-|b||\leq|a-b|$ .

GAIN AN ADVANTAGE

Fully worked out solutions
Easy to digest lessons
Cheat sheets
PDF: How to Make an A+ in Your First Calculus Course

CLICK HERE FOR INSTANT ACCESS

Lesson Specific Problems

Prove that $|xa|\left|\frac{1}{x}-\frac{1}{a}\right|=|x-a|.$
Prove that $|ab|=|a|\,|b|$ .
Prove that $|a|=0$ if and only if $a=0$ .
Prove the triangle inequality.
Prove that $a\,b\leq|a|\,|b|$ for all real numbers $a$ and $b$ .

Pages

1
2
next ›
last »

Copyright © 2013-2020 Six Sycamores, LLC All Rights Reserved
Login
Terms
Privacy
Contact