1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook