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Big union and big intersection [on hold]


An Intuition to An Inclusion: “Union of Intersections” vs “Intersection of Unions”lim sup and lim inf of sequence of sets.Union, intersection and complement of a setNested countably infinite union of countably infinite intersection of setsWhat are the major properties of indexed unions and intersections?infinite union and intersection of disjoint setsUnion and intersection of sets with funcionsUnion of intersection of a family of sets (and viceversa)Distributing arbitrary union over arbitrary intersection (and vice versa)Question regarding the union set of the family and intersection set of the family













-1












$begingroup$



Define $A_k = [k − 1, 2k + 3]$.
Write the following sets: $displaystylebigcap_k=3^7 A_k$, and $displaystylebigcup_k=0^10 A_k$.




I'm really confused by big unions and intersections can anyone show me how to answer this question.










share|cite|improve this question









New contributor




user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$



put on hold as off-topic by mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel yesterday


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." – mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel
If this question can be reworded to fit the rules in the help center, please edit the question.















  • $begingroup$
    I've edited the question body. Please let me know if this is what was intended
    $endgroup$
    – WaveX
    2 days ago










  • $begingroup$
    WaveX, yes this is what was intended thank you.
    $endgroup$
    – user652437
    2 days ago










  • $begingroup$
    "write the following sets" is not really a question; they are already written. Is the question to write the sets in some different form?
    $endgroup$
    – Marc van Leeuwen
    2 days ago















-1












$begingroup$



Define $A_k = [k − 1, 2k + 3]$.
Write the following sets: $displaystylebigcap_k=3^7 A_k$, and $displaystylebigcup_k=0^10 A_k$.




I'm really confused by big unions and intersections can anyone show me how to answer this question.










share|cite|improve this question









New contributor




user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$



put on hold as off-topic by mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel yesterday


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." – mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel
If this question can be reworded to fit the rules in the help center, please edit the question.















  • $begingroup$
    I've edited the question body. Please let me know if this is what was intended
    $endgroup$
    – WaveX
    2 days ago










  • $begingroup$
    WaveX, yes this is what was intended thank you.
    $endgroup$
    – user652437
    2 days ago










  • $begingroup$
    "write the following sets" is not really a question; they are already written. Is the question to write the sets in some different form?
    $endgroup$
    – Marc van Leeuwen
    2 days ago













-1












-1








-1





$begingroup$



Define $A_k = [k − 1, 2k + 3]$.
Write the following sets: $displaystylebigcap_k=3^7 A_k$, and $displaystylebigcup_k=0^10 A_k$.




I'm really confused by big unions and intersections can anyone show me how to answer this question.










share|cite|improve this question









New contributor




user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$





Define $A_k = [k − 1, 2k + 3]$.
Write the following sets: $displaystylebigcap_k=3^7 A_k$, and $displaystylebigcup_k=0^10 A_k$.




I'm really confused by big unions and intersections can anyone show me how to answer this question.







elementary-set-theory






share|cite|improve this question









New contributor




user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 2 days ago









Yadati Kiran

1,9581620




1,9581620






New contributor




user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 2 days ago









user652437user652437

31




31




New contributor




user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






user652437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel yesterday


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." – mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel
If this question can be reworded to fit the rules in the help center, please edit the question.







put on hold as off-topic by mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel yesterday


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." – mrtaurho, Eevee Trainer, Alex Provost, Arnaud Mortier, Parcly Taxel
If this question can be reworded to fit the rules in the help center, please edit the question.











  • $begingroup$
    I've edited the question body. Please let me know if this is what was intended
    $endgroup$
    – WaveX
    2 days ago










  • $begingroup$
    WaveX, yes this is what was intended thank you.
    $endgroup$
    – user652437
    2 days ago










  • $begingroup$
    "write the following sets" is not really a question; they are already written. Is the question to write the sets in some different form?
    $endgroup$
    – Marc van Leeuwen
    2 days ago
















  • $begingroup$
    I've edited the question body. Please let me know if this is what was intended
    $endgroup$
    – WaveX
    2 days ago










  • $begingroup$
    WaveX, yes this is what was intended thank you.
    $endgroup$
    – user652437
    2 days ago










  • $begingroup$
    "write the following sets" is not really a question; they are already written. Is the question to write the sets in some different form?
    $endgroup$
    – Marc van Leeuwen
    2 days ago















$begingroup$
I've edited the question body. Please let me know if this is what was intended
$endgroup$
– WaveX
2 days ago




$begingroup$
I've edited the question body. Please let me know if this is what was intended
$endgroup$
– WaveX
2 days ago












$begingroup$
WaveX, yes this is what was intended thank you.
$endgroup$
– user652437
2 days ago




$begingroup$
WaveX, yes this is what was intended thank you.
$endgroup$
– user652437
2 days ago












$begingroup$
"write the following sets" is not really a question; they are already written. Is the question to write the sets in some different form?
$endgroup$
– Marc van Leeuwen
2 days ago




$begingroup$
"write the following sets" is not really a question; they are already written. Is the question to write the sets in some different form?
$endgroup$
– Marc van Leeuwen
2 days ago










1 Answer
1






active

oldest

votes


















0












$begingroup$

Big unions and big intersections are unions (or intersections) over an indexing set for example your big intersection you are looking at:



$bigcaplimits_k=3^7 [k-1,2k+3]=[2,9]cap[3,11]cap[4,13]cap[5,15]cap[6,17]=[6,9]$.



This should (hopefully) be enough to help you do the union yourself.






share|cite|improve this answer









$endgroup$



















    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0












    $begingroup$

    Big unions and big intersections are unions (or intersections) over an indexing set for example your big intersection you are looking at:



    $bigcaplimits_k=3^7 [k-1,2k+3]=[2,9]cap[3,11]cap[4,13]cap[5,15]cap[6,17]=[6,9]$.



    This should (hopefully) be enough to help you do the union yourself.






    share|cite|improve this answer









    $endgroup$

















      0












      $begingroup$

      Big unions and big intersections are unions (or intersections) over an indexing set for example your big intersection you are looking at:



      $bigcaplimits_k=3^7 [k-1,2k+3]=[2,9]cap[3,11]cap[4,13]cap[5,15]cap[6,17]=[6,9]$.



      This should (hopefully) be enough to help you do the union yourself.






      share|cite|improve this answer









      $endgroup$















        0












        0








        0





        $begingroup$

        Big unions and big intersections are unions (or intersections) over an indexing set for example your big intersection you are looking at:



        $bigcaplimits_k=3^7 [k-1,2k+3]=[2,9]cap[3,11]cap[4,13]cap[5,15]cap[6,17]=[6,9]$.



        This should (hopefully) be enough to help you do the union yourself.






        share|cite|improve this answer









        $endgroup$



        Big unions and big intersections are unions (or intersections) over an indexing set for example your big intersection you are looking at:



        $bigcaplimits_k=3^7 [k-1,2k+3]=[2,9]cap[3,11]cap[4,13]cap[5,15]cap[6,17]=[6,9]$.



        This should (hopefully) be enough to help you do the union yourself.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 2 days ago









        HotdogHotdog

        526




        526













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