All Questions
3
questions
0
votes
0
answers
56
views
Proving closed interval [0,1] has same cardinality as Real Numbers [duplicate]
I want to prove that the closed interval [0, 1] has same cardinality as Real Numbers. I was able to figure out (0, 1), but need help with proving the closed part. What I have so far is:
the function $...
- 819
0
votes
2
answers
62
views
Struggling of a proof of cardinality
I'm working on a homework problem and I'm not sure I'm understanding how to construct the proof. I have done work on it, but it's not coming together. The problem, "Let $A \subseteq (0, 1)$ be a set ...
- 599
0
votes
2
answers
99
views
Cardinality proof verification
Problem:
Let $C \subset (0,1)$ be the set of all numbers whose unique decimal representation contains the number seven. Show that the number of elements in $C$ must be the same as the number of ...
- 422