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Math Help - Truth Table Question

  1. #1
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    Truth Table Question


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  2. #2
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    Quote Originally Posted by ndcruz View Post
    Okay, for the column that is (p ^ q). This means that p is true and q is true, so it will be:

    F
    T
    F
    F.

    An implication P => Q is only false if the premise is true and the conclusion is false. So the table for p => (not)q is:

    T (If q is false then (not)q is true).
    F (if q is true then (not)q is false, thus the implication is false)
    T (since a false implies anything)
    T (since a false implies anything).

    You can construct the last table by looking at the previous two tables. If both are true, then your table should have a T in that section. For any two statements P and Q, P ^ Q is true when both P and Q are true. If one is false, then the statement P ^ Q is false.
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    Here is the Final Answer!
    Thanks for your verification & Explanation!
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