Consider the sets A = {5n+3 | n ≤N}, B = {3n+2 | n ≤ N}. (a) List three elements in A. (b) List three elements in B. (c) Is it true that AC B? And is it true that BCA? Can you explain why? (d) How many elements do you think there are in AUB? Can you explain why you think so? (e) How many elements do you think there are in An B? Can you explain why you think so?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the sets
A = {5n+3 | n ≤N},
B = {3n+2 | n ≤ N}.
(a) List three elements in A.
(b) List three elements in B.
(c) Is it true that AC B? And is it true that BCA? Can you explain why?
(d) How many elements do you think there are in AUB? Can you explain why you think so?
(e) How many elements do you think there are in An B? Can you explain why you think so?
Transcribed Image Text:Consider the sets A = {5n+3 | n ≤N}, B = {3n+2 | n ≤ N}. (a) List three elements in A. (b) List three elements in B. (c) Is it true that AC B? And is it true that BCA? Can you explain why? (d) How many elements do you think there are in AUB? Can you explain why you think so? (e) How many elements do you think there are in An B? Can you explain why you think so?
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