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Homework Help: Inequality question

  1. Mar 5, 2008 #1
    Inequality question involving Ceiling

    I have seen the following sentence in the reference book,
    B-1 >= Ceiling(N/B) implies that B must at least be large enough to satisfy
    B*(B-1) >= N

    but how does
    B-1 >= Ceiling(N/B)
    implies
    B*(B-1) >= N
    ?

    Note that B and N are natural numbers.
     
    Last edited: Mar 5, 2008
  2. jcsd
  3. Mar 5, 2008 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Hi jack!

    Hint: Write out the definition of Ceiling (N/B), in full.

    Then multiply that by B - what happens? :smile:
     
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