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    Logic Problem and Truth Value

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    Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following:

    p^(~q)

    p^q^r

    p^(qVr)

    ~(p^q)

    (~p)V(~q).

    © BrainMass Inc. brainmass.com March 4, 2021, 6:13 pm ad1c9bdddf
    https://brainmass.com/math/discrete-math/logic-problem-truth-value-35775

    Solution Preview

    Here are the basic boolean operators:

    ~ is logical NOT

    ~T=F (not true is false)
    ~F=T (not false is true)

    ^ is logical AND

    F^F=F (false and false is false)
    F^T=F (false and true is false)
    T^F=F (true ...

    Solution Summary

    This solution is comprised of a detailed explanation to find the truth value.

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