Define a relation on N x N as follows: (a, b) R (c, d) ⇒a+d=b+c (2.1) Is (3, 6) R (3, 5)? Explain. (2.2) Is (1, 1) R (3, 5)? Explain. (2.3) Prove that R is an equivalence relation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Define a relation on Nx N as follows:
(a, b) R (c, d) ⇒a+d=b+c
(2.1) Is (3, 6) R (3, 5)? Explain.
(2.2) Is (1, 1) R. (3, 5)? Explain.
(2.3) Prove that R is an equivalence relation.
(2.4) List 3 elements that belong to the equivalence class
[(1, 2)].
Transcribed Image Text:Define a relation on Nx N as follows: (a, b) R (c, d) ⇒a+d=b+c (2.1) Is (3, 6) R (3, 5)? Explain. (2.2) Is (1, 1) R. (3, 5)? Explain. (2.3) Prove that R is an equivalence relation. (2.4) List 3 elements that belong to the equivalence class [(1, 2)].
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