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
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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
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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