6. Consider the set A = 10 = {0, 1, 2, ..., 9} and consider the relation R on A determined by a Rb if and only if a - b is a multiple of 3. (a) Represent the relation R as a subset of A × A (draw the corresponding table). (b) Show that R is reflexive, that is, for all a € A, we have a Ra. (c) Show that R is symmetric, that is, for all a, b = A, we have that a R b implies that b R a.
6. Consider the set A = 10 = {0, 1, 2, ..., 9} and consider the relation R on A determined by a Rb if and only if a - b is a multiple of 3. (a) Represent the relation R as a subset of A × A (draw the corresponding table). (b) Show that R is reflexive, that is, for all a € A, we have a Ra. (c) Show that R is symmetric, that is, for all a, b = A, we have that a R b implies that b R a.
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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