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Interpretation of Question

  1. Sep 28, 2009 #1
    1. The problem statement, all variables and given/known data

    Prove the points of the open interval (a,b) are those of the form a + t(b-a) for 0 < t < 1.

    2. Relevant equations



    3. The attempt at a solution

    I'm interpreting this as asking me to prove that if x is in (a,b), then x can be written as
    a + t(b-a) for some 0 < t < 1. Conversely, it's asking me to prove that if x = a + t(b-a) with 0 < t < 1, then x is in (a,b).

    Is this interpretation correct?
     
  2. jcsd
  3. Sep 28, 2009 #2
    Please answer quick. This is a homework question due in a couple hours. I've already finished the question and my problem set, but I want to make sure that I proved the correct thing!
     
  4. Sep 28, 2009 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yes, your interpretation is correct.

    Sorry I couldn't get this to you sooner but I was busy with something I am actually paid to do.
     
  5. Sep 28, 2009 #4
    I'll pay you double! Just kidding, thanks for the response. It came in time :)
     
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