Number 3

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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Number 3
3. For each of the following entities, say whether it is a member of P(N), and explain
why or why not.
(a) 5
(b) {5}
(c) {3, 100, 365}
(d) {{3}, {100, 365}, {1000, 2000, 2001}}
4. Let X be the set comprising all numbers of the following two types:
• Natural numbers;
• Natural number multiples of T
meaning T, 2T, 37, and so on.
(To clarify, X includes numbers like 39 and nuntbers like 107.) Is X a countable set?
If yes, what is a one-to-one correspondence that shows it? If no, why not?
1
MacBook Pro
MAT 108, Suring.
Transcribed Image Text:3. For each of the following entities, say whether it is a member of P(N), and explain why or why not. (a) 5 (b) {5} (c) {3, 100, 365} (d) {{3}, {100, 365}, {1000, 2000, 2001}} 4. Let X be the set comprising all numbers of the following two types: • Natural numbers; • Natural number multiples of T meaning T, 2T, 37, and so on. (To clarify, X includes numbers like 39 and nuntbers like 107.) Is X a countable set? If yes, what is a one-to-one correspondence that shows it? If no, why not? 1 MacBook Pro MAT 108, Suring.
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