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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:


    -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

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