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Homework Help: Predicate logic

  1. Jan 22, 2012 #1
    1. The problem statement, all variables and given/known data

    1) (∀xεℝ)((x≠0)→((∃yεℝ)(xy=1)

    2) (∃yεℝ)(∀xεℝ)((x≠0)→(xy=1))

    2. Relevant equations

    ∃ - there exists
    ∀ - for all
    → implication

    3. The attempt at a solution

    The brackets and implication are throwing me for a loop

    1) for all real numbers, there exist another real number such that their product is 1. TRUE

    2) There exists a real number y, such that any real number and y will have a product of 1. False.

  2. jcsd
  3. Jan 22, 2012 #2


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    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Hello .~!@# !

    What's the question?

    Do you want to know if your answers are correct, or do you want your translation into English checked ? ... or what??
  4. Jan 22, 2012 #3
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