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Logic Question

  1. Feb 26, 2008 #1
    1. The problem statement, all variables and given/known data

    Use logic to write the negation of the sentence: All participants of this course are IT majors and are Math majors (be careful, use basic logic laws)


    2. Relevant equations

    DeMorgan's Law

    3. The attempt at a solution

    Letting P(x) be Participants who are IT majors and Q(x) participants who are Math majors.

    ¬∀∧P(x))) ⇔∃n(¬(P(x)∧Q(x)))
    ⇔n(P(x)∃¬∨¬Q(x))

    In English

    There exists a participant in this course who is not an IT major or not a Math Major.

    Hi, could someone please verify my answer? Thanks a ton.
     
  2. jcsd
  3. Feb 26, 2008 #2
    Yes, that's right. Can't you tell from reading the sentence?
     
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