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Homework Help: Negation of statement

  1. Jan 9, 2010 #1
    1. The problem statement, all variables and given/known data

    [tex]\exists[/tex] M [tex]\in[/tex] R such that [tex]\forall[/tex] x[tex]\in[/tex] S, x[tex]\leq[/tex]M
    Write in symbolic for the negation of the statement.

    3. The attempt at a solution
    [tex]\forall[/tex] M[tex]\in[/tex] R, [tex]\exists[/tex] x[tex]\in[/tex] S such that x[tex]\geq[/tex]M

    Is this correct?
  2. jcsd
  3. Jan 9, 2010 #2
    It should be x > M, but otherwise yes.
  4. Jan 9, 2010 #3
    Great. Thanks for the help.
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