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
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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
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