How to represent this set?

Discussion in 'Physics & Math' started by ash64449, Jul 20, 2013.

  1. ash64449 Registered Senior Member

    Messages:
    795
    Here is the set:
    {1,2,{3,4},5}.

    This is the roster form. How can this Set be written in Set-builder form?
     
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  3. rpenner Fully Wired Valued Senior Member

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    { x | ( x ∈ ℕ and ( 0 < x < 3 or x = 5 ) ) or ( x ∈ PowerSet(ℕ) and Cardinality(x) = 2 and ∀y∈x ( 2 < y < 5 ) ) }
     
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  5. funkstar ratsknuf Valued Senior Member

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    It is already in set builder notation. Context?
     
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  7. ash64449 Registered Senior Member

    Messages:
    795
    Thank you!
     
  8. funkstar ratsknuf Valued Senior Member

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    1,390
    You may have missed that it is already in set builder notation.

    If you perforce want the \(\{x \,\mid\, \phi(x) \}\) form then \(\{ x \,\mid \,x \in \{1,2,\{3,4\},5\}\}\) would be an easier way than rpenner's suggestion, but it would be just as silly, since the list form is readily accepted as set builder notation, anyway.

    Hence, my question: what context do you need this for? Homework? Which grade? Etc.
     

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