anonymous
  • anonymous
Enter the elements of the following subsets of N: {x; x>7 ∧ x >13} My answear is {x; x>7 ∧ x >13} = (13, ∞) Is that answear correct? or how should I think?
Mathematics
katieb
  • katieb
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welshfella
  • welshfella
you are right values of x between 7 and 13 are not included because of the intersect symbol.
zzr0ck3r
  • zzr0ck3r
But you wrote an interval, and it wants the elements in N. So we would list it like, \[\{13,14,15,16,...\}\] or \[\mathbb{N}-\{1,2,3,4,5,6,7,8,9,10,11,12,13\}\]
zzr0ck3r
  • zzr0ck3r
interval notation implies continuum

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zzr0ck3r
  • zzr0ck3r
I think...
zzr0ck3r
  • zzr0ck3r
or better \(\mathbb{N}\cap (13, \infty)\) ^^^thats the one
welshfella
  • welshfella
yep I missed that
zzr0ck3r
  • zzr0ck3r
I was thinking it would be ok if you used an interval as long as we said our universal set was the natural numbers, but I dont think that makes sense because the natural numbers do not form a system, not even a group. Maybe just make our own notation \[\mathbb{N}\cap (13, \infty)=(13,\infty)_{\mathbb{N}}\] :)

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