Results 1 to 3 of 3

Math Help - Negation of Inequality

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    57

    Negation of Inequality

    I'm trying to negate the statement

    ∀ x ∈ ℤ, X^2 > 0

    i believe that

    ∃ x ∈ ℤ, ~(X^2 > 0)

    is technically the right answer, but can it be further changed to

    ∃ x ∈ ℤ, X^2 < 0 ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,559
    Thanks
    785
    You are correct. For every number x, \neg(x\ge 0) is equivalent to x<0.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2010
    Posts
    57
    ok, thank you
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Negation
    Posted in the Discrete Math Forum
    Replies: 11
    Last Post: October 20th 2010, 01:10 PM
  2. Negation of x in A or B
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 13th 2010, 09:13 AM
  3. Negation help (2)
    Posted in the Discrete Math Forum
    Replies: 6
    Last Post: April 15th 2010, 08:49 AM
  4. Negation help
    Posted in the Discrete Math Forum
    Replies: 14
    Last Post: April 13th 2010, 10:20 AM
  5. The Negation
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 22nd 2009, 01:55 PM

Search Tags


/mathhelpforum @mathhelpforum