Let X be the set comprising all numbers of the following two types: • Natural numbers; • Natural number multiples of meaning 1, 2T, 37, and so on. (To clarify, X includes numbers like 39 and numbers like 107.) Is X a countable set? If yes, what is a one-to-one correspondence that shows it? If no, why not?
Let X be the set comprising all numbers of the following two types: • Natural numbers; • Natural number multiples of meaning 1, 2T, 37, and so on. (To clarify, X includes numbers like 39 and numbers like 107.) Is X a countable set? If yes, what is a one-to-one correspondence that shows it? If no, why not?
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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4. Let X be the set comprising all numbers of the following two types:
• Natural numbers;
• Natural number multiples of
meaning 7, 2T, 3™, and so on.
(To clarify, X includes numbers like 39 and numbers like 107.) Is X a countable set?
If
what is a one-to-one correspondence that shows it? If no, why not?
yes,
1
dinalitu than](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3fb6dbf-5e70-4422-9cd5-f76b81fe141e%2F543ac48c-cca8-494e-95ac-94f5a356ff45%2Fumbt61_processed.jpeg&w=3840&q=75)
Transcribed Image Text:uestiontext/134095/1/273621/review2.pdf
du y
1 / 4
+| 日の
100%
4. Let X be the set comprising all numbers of the following two types:
• Natural numbers;
• Natural number multiples of
meaning 7, 2T, 3™, and so on.
(To clarify, X includes numbers like 39 and numbers like 107.) Is X a countable set?
If
what is a one-to-one correspondence that shows it? If no, why not?
yes,
1
dinalitu than
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