PROVE If X is a set and {A:n ≥ 1} is a collection of subsets, then: 12 00 00 a. X\[UA] = n (X\A₂_) n=1 n=1 00 00 b. X\[NA]U (X\A) n=1 n=1
PROVE If X is a set and {A:n ≥ 1} is a collection of subsets, then: 12 00 00 a. X\[UA] = n (X\A₂_) n=1 n=1 00 00 b. X\[NA]U (X\A) n=1 n=1
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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Question
![PROVE
If X is a set and {A: n ≥ 1} is a collection of subsets, then:
12
00
00
a. X\[UA] = n(X\A₂_)
n=1
00
00
n=1
b. X\[NA]=U (X\A)
n=1
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37e8ed93-7bef-4409-89ed-52264f64a27e%2Faa523ddb-9489-46a9-81e4-c505e122fd1b%2F3le8w8_processed.png&w=3840&q=75)
Transcribed Image Text:PROVE
If X is a set and {A: n ≥ 1} is a collection of subsets, then:
12
00
00
a. X\[UA] = n(X\A₂_)
n=1
00
00
n=1
b. X\[NA]=U (X\A)
n=1
n=1
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