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Math Help - valid or invalid ?

  1. #1
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    valid or invalid ?

    Determine whether the following argument of this form is a valid or an invalid using the truth table:

    If I am student and I am not reading then I will go to the birth day party.
    I am student or I am reading.
    If it is reading then I am student.
    Therefore I will go to the birth day party
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  2. #2
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    Hello, naseerhaider!

    I'll get you started . . .


    Determine whether the following argument of this form is a valid or an invalid using the truth table:

    [1] If I am a student and I am not reading, then I will go to the birthday party.
    [2] I am student or I am reading.
    [3] If I am reading then. I am a student.
    [4] Therefore I will go to the birthday party
    p: I am a student.
    q: I am reading.
    r: I will go to the birthday party.

    Statement [1] is: . (p\: \wedge \sim\!q) \to r

    Statement [2] is: . p \vee q

    Statement [3] is: . q \to p

    Statement [4] is: . r


    The statement to test in a truth table is:

    . . \bigg(\left[(p\,\wedge \sim\!q) \to r\right] \:\wedge\: (p \vee q) \:\wedge \:(q \to p)\bigg) \;\to\; r

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  3. #3
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    Quote Originally Posted by Soroban View Post
    Hello, naseerhaider!

    I'll get you started . . .


    p: I am a student.
    q: I am reading.
    r: I will go to the birthday party.

    Statement [1] is: . (p\: \wedge \sim\!q) \to r

    Statement [2] is: . p \vee q

    Statement [3] is: . q \to p

    Statement [4] is: . r


    The statement to test in a truth table is:

    . . q \to p)\bigg) \;\to\; r" alt="\bigg(\left[(p\,\wedge \sim\!q) \to r\right] \:\wedge\: (p \vee q) \:\wedge \q \to p)\bigg) \;\to\; r" />

    Thanks a lot buddy.relay great job
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