#1. Sets A and B are defined as follows: A = {n eZ|n= 8r – 3 for some integer r} and B = {m e Z |m = 4s + 1 for some integer s}. (a) Prove that ACB. (b) Disprove that BC A. Proof:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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#1.
Sets A and B are defined as follows: A = {n E Z|n= 8r – 3 for some
integer r} and B = {m e Z|m= 4s + 1 for some integer s}.
(a) Prove that Ac B.
(b) Disprove that BCA.
Proof:
%3D
%3D
Transcribed Image Text:#1. Sets A and B are defined as follows: A = {n E Z|n= 8r – 3 for some integer r} and B = {m e Z|m= 4s + 1 for some integer s}. (a) Prove that Ac B. (b) Disprove that BCA. Proof: %3D %3D
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