Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Introduction to Discrete Mathematics

Let A = {x ∈ Z | ∃k ∈ Z, x = 3k + 2}, B = {x ∈ Z | x ≡ 1 (mod 3)}, and C = {x ∈ Z | 3 | x}.
Prove that A, B, C is a partition of Z

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