1. Not finding help here? Sign up for a free 30min 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!

How to transforn words into math in this proof

  1. Nov 28, 2008 #1
    i am given group A which its maximum is 5

    b={-a;a of group A}
    prove that the minimum of b is -5
    ??

    i know that in group b we switch the sign of the members of group "a"

    the biggest member in group "a" is the minimum of group "b"

    so the minimum of "b" must be -5

    how to transform this into math??
     
  2. jcsd
  3. Nov 28, 2008 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi transgalactic! :smile:

    (i assume it's an ordered group)

    -5 is a member of B.

    Let c be any other member of B.

    Then … ? :smile:
     
  4. Nov 29, 2008 #3
    then 5 is a member of "a"

    ??
     
    Last edited: Nov 29, 2008
  5. Nov 29, 2008 #4

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    But what can you say about c? :smile:
     
  6. Nov 29, 2008 #5
    in group B
    C>-5

    ??
     
    Last edited: Nov 29, 2008
  7. Nov 29, 2008 #6

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    (did the forum go off-line for a time, or was that just my computer? :redface:)

    Yes (or maybe ≥) … so you can write:

    for any c ε B, c ≥ -5 …

    and that is the way you "transform this into math", as you were asking for! :smile:
     
  8. Nov 29, 2008 #7
    how it proves that the minimum of group B is C ??
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: How to transforn words into math in this proof
  1. Math proof (Replies: 2)

  2. Math Proof (Replies: 10)

Loading...