Anonymous asked in Science & MathematicsMathematics · 2 months ago

Discrete Math?

Determine the truth value (T/F) of ((~r) ^ s) --> (r ^ t) when r, s and t are all True.

1 Answer

  • fcas80
    Lv 7
    2 months ago

    (~r) is F

    s is T

    (~r) ^ S is F

    r ^ T is T

    Let P = (~r) ^ S, which is F.  Let Q = r ^ T, which is T.

    Because the P is false, the entire statement P --> Q is F.

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