anonymous
  • anonymous
Can anyone explain absolute values to me. The definition my teacher gave was a bit confusing |x|=x if x is greater than or equal to and |x|= -x if x is less than zero. I thought absolute value was just the distance x was from zero so it couldn't end up negative.
Mathematics
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katieb
  • katieb
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Akshay_Budhkar
  • Akshay_Budhkar
ok i will do it
Akshay_Budhkar
  • Akshay_Budhkar
|x| is also known as absolute value of x or modulus x
Akshay_Budhkar
  • Akshay_Budhkar
Now modulus x is a function that is always positive, that is it is always greater than zero.. \[\left| x \right| > 0\]

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Akshay_Budhkar
  • Akshay_Budhkar
so for a positive function the function doesnt change. Let us take an example.. Say x=5 so |5| = 5
Akshay_Budhkar
  • Akshay_Budhkar
Now for a negative function, the function just changes the sign, that is negative sign becomes positive
Akshay_Budhkar
  • Akshay_Budhkar
For eg. we have x= -5 |-5| = 5
Akshay_Budhkar
  • Akshay_Budhkar
Now if you see the graph of x looks like|dw:1326414074983:dw|
Akshay_Budhkar
  • Akshay_Budhkar
for modulus x the function looks like |dw:1326414124726:dw|
Akshay_Budhkar
  • Akshay_Budhkar
As it is always positive
Akshay_Budhkar
  • Akshay_Budhkar
Does this help?
anonymous
  • anonymous
I would like to add that the statement |x| = -x when x < 0 means that for example: Lets say x = -2 so it's less than zero. |-2| = -(-2) Absolute value of -2 is the opposite of -2 which is 2
Akshay_Budhkar
  • Akshay_Budhkar
We have given the user a complete research on modulus... Hope it helps :)
anonymous
  • anonymous
I enjoyed your explanation =) I've seen the confusion with the |x| = -x before (Which should be read as absolute value of x is the opposite of x)
anonymous
  • anonymous
When x is less than zero
anonymous
  • anonymous
negatives always make my brain go twisty...but thank you it did help clear up some confusion.
Akshay_Budhkar
  • Akshay_Budhkar
Yea many people find it confusing, the best way to tackle it is an example :D This method always works :)
Akshay_Budhkar
  • Akshay_Budhkar
If you need you can clear ALL your confusion
Akshay_Budhkar
  • Akshay_Budhkar
Just tell what is that is confusing you?

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