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Math Help - Theorums logic

  1. #1
    roz
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    Cool Theorums logic

    A theorum is expressed in the form below.



    " If A then B"



    How can both the above theorum and its converse be expressed?



    a. If B then A



    b. If not B then not A



    c. If not A then not B



    d. A if and only if B
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  2. #2
    GAMMA Mathematics
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    I think it is "If B then A" using the conversion logic found here
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  3. #3
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by roz View Post
    A theorum is expressed in the form below.

    " If A then B"

    How can both the above theorum and its converse be expressed?

    a. If B then A
    b. If not B then not A
    c. If not A then not B
    d. A if and only if B
    "If A then B"

    CONVERSE: If B then A.
    CONTRAPOSITIVE: If not B, then not A. (this is equivalent to the theorem itself)
    CONTRAPOSITIVE OF THE CONVERSE: If not A then not B.

    your d) says "If A then B and If B then A"
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