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Math Help - Compare-numbers

  1. #1
    Super Member dhiab's Avatar
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    Compare-numbers

    x real number
    compare this numbers :
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Consider different cases:

    Case 1: If x>1, (eg: 3)
    x^3>x^2>x

    Case 2: If x=1,
    x^3=x^2=x

    Case 3: If 0<x<1, (eg: 0.5)
    x>x^2>x^3

    Case 4: If x=0,
    x^3=x^2=x

    Case 5: If -1<x<0, (eg: -0.5)
    x^2>x^3>x

    Case 6: If x=-1,
    x^2>x^3=x

    Case 7: If x<-1, (eg: -3)
    x^2>x>x^3
    Last edited by alexmahone; June 19th 2009 at 01:09 AM.
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  3. #3
    Super Member dhiab's Avatar
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    Hello : - What is the methodology used to compare the two numbers?
    Thanks
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  4. #4
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by dhiab View Post
    Hello : - What is the methodology used to compare the two numbers?
    Thanks
    I edited my previous post. Now does it make sense?
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  5. #5
    Super Member dhiab's Avatar
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    Quote Originally Posted by alexmahone View Post
    I edited my previous post. Now does it make sense?
    Hello : Thank you
    that is they are every time to make to study the sign of difference between this nombers two
    graphically :
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  6. #6
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by dhiab View Post
    Hello : Thank you
    that is they are every time to make to study the sign of difference between this nombers two
    graphically :
    Yes.

    It is easier to compare graphically.
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