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Math Help - Logic help please !

  1. #1
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    Logic help please !

    "Consider the logical arguement below involving artritrary real numbers a and b.
    if a≠0 and ab = 0 then b=0.
    However, b≠0. Therefore if a≠0, then ab ≠ 0.

    it is given that

    p: a = 0;
    q: b = 0;
    r: ab = 0;

    translate to symbloic form and test for validity"

    ans.

    I have

    p n r => q
    q
    p => r

    [[[(p n r ) => q] => q] => p] => r is this setting up correct ? i just want to be sure before moving on
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  2. #2
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    Waterloo, ON
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    Re: Logic help please !

    Are you supposed to write the whole thing into one sentence?
    The part starting from "However..." looks like q ^ p => r.

    So the whole thing be like [p ^ r => q] ^ [q ^ p => r]?
    Thanks from Odail
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  3. #3
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    Re: Logic help please !

    yes one sentence ... thanks
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