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Does there exist a 1-1 and onto function that maps the integers to the rationales? Choose the best response below. Yes, but the function is not easily written in a "normal" way. Yes, and thus you can easily write it explicitly. No, because you can't write it explictly. No because the two set don't have the same cardinality.

Does there exist a 1-1 and onto function that maps the integers to the rationales? Choose the best response below. Yes, but the function is not easily written in a "normal" way. Yes, and thus you can easily write it explicitly. No, because you can't write it explictly. No because the two set don't have the same cardinality.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Question: Does there exist a 1-1 and onto function that maps the integers to the rationals? Choose the best response below. ### Options: 1. ○ Yes, but the function is not easily written in a "normal" way. 2. ○ Yes, and thus you can easily write it explicitly. 3. ○ No, because you can't write it explicitly. 4. ○ No because the two set don't have the same cardinality.
Transcribed Image Text:### Question: Does there exist a 1-1 and onto function that maps the integers to the rationals? Choose the best response below. ### Options: 1. ○ Yes, but the function is not easily written in a "normal" way. 2. ○ Yes, and thus you can easily write it explicitly. 3. ○ No, because you can't write it explicitly. 4. ○ No because the two set don't have the same cardinality.
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