Let R be the equivalence relation on the set A ={ a, b, c, d } induced by the partition ( {a,b,c}; {d} ). Select all pairs of elements in R. O (a,a) O (a,b) O (a,c) O (a,d) O (b,a) O (b,b) O (b,c) O (b,d) O (c,a) O (c,b) O (c,c) O (c,d)

Let R be the equivalence relation on the set A ={ a, b, c, d } induced by the partition ( {a,b,c}; {d} ). Select all pairs of elements in R. O (a,a) O (a,b) O (a,c) O (a,d) O (b,a) O (b,b) O (b,c) O (b,d) O (c,a) O (c,b) O (c,c) O (c,d)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 27E: Prove Theorem 1.40: If is an equivalence relation on the nonempty set , then the distinct...

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Question

Let R be the equivalence relation on the set A = { a, b, c, d } induced by the partition ( {a,b,c}; {d}
). Select all pairs of elements in R.
O (a,a)
O (a,b)
O (a,c)
O (a,d)
O (b,a)
O (b,b)
O (b,c)
(b,d)
O (c,a)
O (c,b)
O (c,c)
O (c,d)
N (da)

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