Prove that for all sets A and B and nEZ, n ≥ 1, the following holds: 72 11 (a) U(A\B) = (UA) \ B; (=1 i=1 n n (b) n(AB) = (n A) \ B. i=1 i=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q1 Plz solve both parts kindly plz take your time and get a thumb up plz
1.
Prove that for all sets A and B and n E Z, n ≥ 1, the following holds:
(a)
72
(=1
n
U(A\B) = (UA) \ B;
i=1
71
(b) n(AB) = (n A) \ B.
(=1
i=1
Transcribed Image Text:1. Prove that for all sets A and B and n E Z, n ≥ 1, the following holds: (a) 72 (=1 n U(A\B) = (UA) \ B; i=1 71 (b) n(AB) = (n A) \ B. (=1 i=1
1.
Prove that for all sets A and B and n EZ, n ≥ 1, the following holds:
11
n
(a) U(A¡ \B) = (U A ¡ ) \ B ;
i = 1
i = 1
11
n
(b) n(A¡ \B) = (^ A ¡ ) \ B .
i=1
2
Transcribed Image Text:1. Prove that for all sets A and B and n EZ, n ≥ 1, the following holds: 11 n (a) U(A¡ \B) = (U A ¡ ) \ B ; i = 1 i = 1 11 n (b) n(A¡ \B) = (^ A ¡ ) \ B . i=1 2
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