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Math Help - very quick question

  1. #1
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    very quick question

    P(x): x car is convertible.
    Q(x): x car is fun to drive.

    for this statement: "A convertible car is fun to drive"

    which one is correct: \forall x(P(x) \rightarrow Q(x)) OR \exists x(P(x) \wedge Q(x)) and why?

    Thanks
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  2. #2
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    Quote Originally Posted by zpwnchen View Post
    P(x): x car is convertible.
    Q(x): x car is fun to drive.
    for this statement: "A convertible car is fun to drive"
    which one is correct: \forall x(P(x) \rightarrow Q(x)) OR \exists x(P(x) \wedge Q(x))
    \forall x(P(x) \rightarrow Q(x))
    "A convertible car is fun to drive" is a universal statement.
    Therefore, it is a hypothetical.
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  3. #3
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    Thank you
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