Set Theory: subsets

  • #1
Hi there, heres the question im given, i will provide the answer that I think is correct, do you mind checking it and possibly pointing out where im wrong if I am?

Give an example of a set S such that:
a) S is a subset P(N)
b) S belongs to P(N)
c) S belongs to P(N) and |S|=5

here are my answers:

a) {1,2,3}
b) {{1}}
c) {1,2,3,4,5}
 

Answers and Replies

  • #2
chiro
Science Advisor
4,790
132
Hey NecroWinter and welcome to the forums.

Just to clarify what is the set P(N)? Is this just all the natural numbers or the power set of the entire set of natural numbers?
 
  • #3
1,552
15
You have the answers for A and B switched.
 

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