Let A Z and let the relation R be defined on A by zRy if and only if 7 divides r-y. a) Show that R is an equivalence relation. (b) List three elements in (3]r, the equivalence class of 3 under R.
Let A Z and let the relation R be defined on A by zRy if and only if 7 divides r-y. a) Show that R is an equivalence relation. (b) List three elements in (3]r, the equivalence class of 3 under R.
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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![Let A Z and let the relation R be defined on A by zRy if and only if 7 divides r-y.
a) Show that R is an equivalece relation.
(b) List three elements in [3]r, the equivalence class of 3 under R.
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Transcribed Image Text:Let A Z and let the relation R be defined on A by zRy if and only if 7 divides r-y.
a) Show that R is an equivalece relation.
(b) List three elements in [3]r, the equivalence class of 3 under R.
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R
T
K
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