How do I write $A # n$ in set builder notation? [closed]












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Let $A subset mathbb{R}$ be a set of real numbers, and let $ninmathbb{N}$ be a natural number. Define $A#n$ to be the set of all subsets of $A$ such that every pair of numbers has an absolute difference of at most $n$.






elementary-set-theory







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closed as off-topic by Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn Feb 3 at 17:09


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn

If this question can be reworded to fit the rules in the help center, please edit the question.





















    0












    $begingroup$


    Let $A subset mathbb{R}$ be a set of real numbers, and let $ninmathbb{N}$ be a natural number. Define $A#n$ to be the set of all subsets of $A$ such that every pair of numbers has an absolute difference of at most $n$.






    elementary-set-theory







    share|cite|improve this question











    $endgroup$



    closed as off-topic by Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn Feb 3 at 17:09


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn

    If this question can be reworded to fit the rules in the help center, please edit the question.



















      0












      0








      0





      $begingroup$


      Let $A subset mathbb{R}$ be a set of real numbers, and let $ninmathbb{N}$ be a natural number. Define $A#n$ to be the set of all subsets of $A$ such that every pair of numbers has an absolute difference of at most $n$.






      elementary-set-theory







      share|cite|improve this question











      $endgroup$




      Let $A subset mathbb{R}$ be a set of real numbers, and let $ninmathbb{N}$ be a natural number. Define $A#n$ to be the set of all subsets of $A$ such that every pair of numbers has an absolute difference of at most $n$.






      elementary-set-theory




      elementary-set-theory






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      share|cite|improve this question













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      edited Feb 3 at 5:38









      Tiago Emilio Siller

      7581419




      7581419










      asked Feb 3 at 3:17









      rohit jainrohit jain

      43




      43




      closed as off-topic by Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn Feb 3 at 17:09


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn

      If this question can be reworded to fit the rules in the help center, please edit the question.







      closed as off-topic by Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn Feb 3 at 17:09


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Andrés E. Caicedo, darij grinberg, Gregory J. Puleo, José Carlos Santos, max_zorn

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
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          $begingroup$

          ${ X : X subseteq A, forall x,y in X, |x - y| le n }$






          share|cite|improve this answer











          $endgroup$




















            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            1












            $begingroup$

            ${ X : X subseteq A, forall x,y in X, |x - y| le n }$






            share|cite|improve this answer











            $endgroup$


















              1












              $begingroup$

              ${ X : X subseteq A, forall x,y in X, |x - y| le n }$






              share|cite|improve this answer











              $endgroup$
















                1












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                1





                $begingroup$

                ${ X : X subseteq A, forall x,y in X, |x - y| le n }$






                share|cite|improve this answer











                $endgroup$



                ${ X : X subseteq A, forall x,y in X, |x - y| le n }$







                share|cite|improve this answer














                share|cite|improve this answer



                share|cite|improve this answer








                edited Feb 3 at 5:51









                bof

                52.6k559121




                52.6k559121










                answered Feb 3 at 3:59









                William ElliotWilliam Elliot

                9,1812820




                9,1812820















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