I. TRUE OR FALSE. Let A, B, and C be sets. Write "True" if the statement is always true; otherwise, write "False." 1. If={1,2,3,4,5) and = {2,0, {5}, {1,2}, {1,5}, {3,4}, {1,2,5}, {2,3,4}, {3,4,5}, {1,2,3,4}} then is a field. 2. IfQ={1,2,3,4,5} and = {0, 0, {1}, {2,3}, {4,5}, {1,2,3), (1,4,5), (2,3,4,5}} then is a field. 3. If Q=set of positive integers and = {0, 0, set of positive even integers, set of positive odd integers) then is a sigma-field.
I. TRUE OR FALSE. Let A, B, and C be sets. Write "True" if the statement is always true; otherwise, write "False." 1. If={1,2,3,4,5) and = {2,0, {5}, {1,2}, {1,5}, {3,4}, {1,2,5}, {2,3,4}, {3,4,5}, {1,2,3,4}} then is a field. 2. IfQ={1,2,3,4,5} and = {0, 0, {1}, {2,3}, {4,5}, {1,2,3), (1,4,5), (2,3,4,5}} then is a field. 3. If Q=set of positive integers and = {0, 0, set of positive even integers, set of positive odd integers) then is a sigma-field.
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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![I. TRUE OR FALSE. Let A, B, and C be sets. Write "True" if the statement is always true; otherwise,
write "False."
1. If={1,2,3,4,5} and = {2,0, {5}, {1,2}, {1,5}, {3,4}, {1,2,5}, {2,3,4}, {3,4,5}, {1,2,3,4}} then
is a field.
2. IfQ={1,2,3,4,5) and = {0, 0, {1}, {2,3), (4,5), (1,2,3), (1,4,5}, {2,3,4,5}} then is a field.
3. If Q=set of positive integers and = {0, 0, set of positive even integers, set of positive odd
integers) then
is a sigma-field.
4. If is a sigma-field and A, for all 2 [0,1] then U4₂ € 8.
Ac[0,1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5285cf31-efda-403b-9642-118c5c0bdc3e%2F0b2684cb-daef-4033-a587-3188e97bfcc7%2Fsttq8ld_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I. TRUE OR FALSE. Let A, B, and C be sets. Write "True" if the statement is always true; otherwise,
write "False."
1. If={1,2,3,4,5} and = {2,0, {5}, {1,2}, {1,5}, {3,4}, {1,2,5}, {2,3,4}, {3,4,5}, {1,2,3,4}} then
is a field.
2. IfQ={1,2,3,4,5) and = {0, 0, {1}, {2,3), (4,5), (1,2,3), (1,4,5}, {2,3,4,5}} then is a field.
3. If Q=set of positive integers and = {0, 0, set of positive even integers, set of positive odd
integers) then
is a sigma-field.
4. If is a sigma-field and A, for all 2 [0,1] then U4₂ € 8.
Ac[0,1]
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