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Proving simple theorem

  1. Jan 30, 2014 #1
    1. The problem statement, all variables and given/known data

    Pz3gG0Y.png

    2. Relevant equations



    3. The attempt at a solution

    $$Counter-example:\quad let\quad a=-1\quad and\quad b=-2.\\ \\ -1\quad <\quad \frac { -3 }{ 2 } <-2$$

    I have to prove it but it seems like the question is wrong.
     
  2. jcsd
  3. Jan 30, 2014 #2

    Dick

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    You need a<b. -1 isn't less than -2.
     
  4. Jan 30, 2014 #3

    Ray Vickson

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    If you draw a number line, with positive numbers on the right and negative numbers on the left, the statement a < b means that 'a' lies to the left of 'b' on the number line. Is that the case for your 'a' and 'b'?
     
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