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Thread: True implication whose converse is false

  1. #1
    Nov 2010

    True implication whose converse is false

    Hey all, I need 2 mathematical if-then statements that are true, but whose converses are false.

    An example is:
    Let m,n be in the Integers. If gcd(m,n) = 3, then m and n are divisible by 3.

    Any help would be appreciated!
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  2. #2
    Super Member

    May 2006
    Lexington, MA (USA)
    Hello, jstarks44444!

    Who gave you that example? .It's too complicated.

    There are much simpler examples . . .

    If a quadrilateral is a square, then it has four sides.

    If an integer is divisible by 6, then it is even.

    If two numbers are 8 and 9, then the product of the two numbers is 72.

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