Consider the relation R = {(a,b) | a is congruent to b mod 3} on set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the equivalence classes of R? O (1, 4, 7, 10}, (2, 5, 8), (3, 6, 9} O {1, 2, 4, 5, 7, 8, 10}, {3, 6, 9} O {1, 5, 9}, (2, 6, 10}, {3, 7}, {4, 8} O {2, 4, 6, 8, 10}, {1, 3, 5, 7, 9}

Consider the relation R = {(a,b) | a is congruent to b mod 3} on set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the equivalence classes of R? O (1, 4, 7, 10}, (2, 5, 8), (3, 6, 9} O {1, 2, 4, 5, 7, 8, 10}, {3, 6, 9} O {1, 5, 9}, (2, 6, 10}, {3, 7}, {4, 8} O {2, 4, 6, 8, 10}, {1, 3, 5, 7, 9}

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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Question

Consider the relation R = {(a,b) | a is congruent to b mod 3} on set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the equivalence
classes of R?
O {1, 4, 7, 10}, {2, 5, 8), {3, 6, 9}
O {1, 2, 4, 5, 7, 8, 10}, {3, 6, 9}
O {1, 5, 9}, {2, 6, 10}, {3, 7}, {4, 8}
O {2, 4, 6, 8, 10), (1, 3, 5, 7, 9}

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