1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Prove -|x|<x<|x|

  1. Mar 2, 2008 #1
    1. The problem statement, all variables and given/known data
    Prove that -|x|< or equal to x< or equal to|x|


    2. Relevant equations



    3. The attempt at a solution

    I know that it is true by this example:

    x=5

    -5<or equal to |5|<or equal to |5|

    it also hold true for x=-5

    Could someone please show me or give me a hint on how to prove this?

    Thank you very much
     
  2. jcsd
  3. Mar 2, 2008 #2
    Divide and conquer: Analyze what happens when x > 0, x < 0 and x = 0.
     
  4. Mar 2, 2008 #3
    Thank you very much

    Regards
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook