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Cristiano Ronaldo

19/03/2017 at 10:38
Answers
3
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Find the smallest value of |a-1000| + |a-1001|.


absolute value


    List of answers
  • ...
    ¤« 08/04/2018 at 15:11

    We have:

    |a−1001|≥0

    ⇒|a−1000|≥1

    ⇒|a−1000|+|a−1001|≥1+0=1

    => Smallest value of |a-1000| + |a - 1001| = 1 at:

    * a = 1001 and |a-1000| + |a - 1001| = 1 + 0 = 1

    * a = 1000 and |a-1000| + |a - 1001| = 0 + 1 = 1

    Are you OK?

  • ...
    Dao Trong Luan 24/07/2017 at 11:51

    We have:

    \(\left|a-1001\right|\ge0\)

    \(\Rightarrow\left|a-1000\right|\ge1\)

    \(\Rightarrow\left|a-1000\right|+\left|a-1001\right|\ge1+0=1\)

    => Smallest value of |a-1000| + |a - 1001| = 1 at:

    * a = 1001 and |a-1000| + |a - 1001| = 1 + 0 = 1

    * a = 1000 and |a-1000| + |a - 1001| = 0 + 1 = 1

    Are you OK?

  • ...
    Fujitora Ishito (online math) 20/03/2017 at 15:56

    smallest value : 1

    When a=1000 or a=1001 

    Good


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