SOLUTION: What is the relationship between |x-y| and |x|-|y|? Illustrate using numerical examples.

Algebra ->  Absolute-value -> SOLUTION: What is the relationship between |x-y| and |x|-|y|? Illustrate using numerical examples.      Log On


   

Question 1059166: What is the relationship between |x-y| and |x|-|y|? Illustrate using numerical examples.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
|x-y| will always be positive.
|x| - |y| will be positive or negative depending on whether the absolute value of x is greater than the absolute value of y.

some examples:

|5-3| = 2
|5| - |3| = 2

|3-5| = 2
|3| - |5| = -2