Please prove: For every positive integer n, if A_1, A_2, A_3, ... and B are any sets, then n n(A₁-B) = i=1 (₁) i=1 A₁-B.
Please prove: For every positive integer n, if A_1, A_2, A_3, ... and B are any sets, then n n(A₁-B) = i=1 (₁) i=1 A₁-B.
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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![Please prove :
For every positive integer n, if A_1, A_2, A_3,
... and B are any sets, then
n
(A₁-B) = (₁₁)-B.
n
n
i=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee43fbb3-9a13-48f6-a569-34a7501bfb65%2Ff925ee64-7b40-4a19-aa39-10418b3025a8%2F7ju7yoh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Please prove :
For every positive integer n, if A_1, A_2, A_3,
... and B are any sets, then
n
(A₁-B) = (₁₁)-B.
n
n
i=1
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