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Math Help - Please check my Truth Table

  1. #1
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    SOLVED!! Please check my Truth Table

    Is this true or false if P is false and Q is true
    ~ ( ~ P OR Q ) AND ( ~ P OR ~ ( P AND ~ Q ) )

    Work:

    ~ ( ~ P OR Q ) is F
    ~ ( P AND ~ Q ) is T

    ( ~ P OR ~ ( P AND ~ Q ) ) is T
    ~ ( ~ P OR Q ) AND ( ~ P OR ~ ( P AND ~ Q ) ) is False
    Last edited by aeubz; July 15th 2009 at 10:26 PM.
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  2. #2
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    You're right.

    Work:

    ~ ( ~ P OR Q ) is F
    With this you can conclude.
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  3. #3
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    Quote Originally Posted by aeubz View Post
    Is this true or false if P is false and Q is true
    ~ ( ~ P OR Q ) AND ( ~ P OR ~ ( P AND ~ Q ) )
    Work:
    ~ ( ~ P OR Q ) is F
    ~ ( P AND ~ Q ) is T
    ( ~ P OR ~ ( P AND ~ Q ) ) is T
    ~ ( ~ P OR Q ) AND ( ~ P OR ~ ( P AND ~ Q ) ) is False
    It is correct.
    However note that you could have stopped at "~ ( ~ P OR Q ) is F".
    Because is one conjoin is false the whole conjunction is false.
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  4. #4
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    thank you guys !!!
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