Absolute Values

Tuesday, 27 February 2018

12:38 PM

The absolute value of a real number x is denoted by  and is defined by
 

 

The number  may be interpreted as the "size" or "magnitude" of the number .
It can also be viewed as the distance  from the origin.

 

Identities of Absolute Values

Let

 

 (triangle inequality)

 

For all real numbers  |
 

 

 is interpreted as the distance from x to y

 

 | For any positive real number

and