1. Prove that for all sets A and B and n € Z, n ≥ 1, the following holds: n (a) U(A₁\B): i=1 = n C i=1 A₁ \ B; n (b) (4₁\B) Ai i=1 n = (1₁) \₁ i=1 B.
1. Prove that for all sets A and B and n € Z, n ≥ 1, the following holds: n (a) U(A₁\B): i=1 = n C i=1 A₁ \ B; n (b) (4₁\B) Ai i=1 n = (1₁) \₁ i=1 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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Transcribed Image Text:1. Prove that for all sets A and B and n € Z, n ≥ 1, the following holds:
n
(a) U(A₁\B):
= (U₁)
i=1
i=1
A₁ \ B;
n
(b) (A₁\B)
i=1
n
=
- (1₁₁) \₁
i=1
B.
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