Let S be the set of all strings of length 4 of letters in the set A = { a, b, c, d, e, f } (repetitions are allowed). Let R be the relation on S defined by R = { (s, t) ∈ S × S: the first letter of s is equal to the first letter of t }. Then, R is an equivalence relation on S. Group of answer choices True False
Let S be the set of all strings of length 4 of letters in the set A = { a, b, c, d, e, f } (repetitions are allowed). Let R be the relation on S defined by R = { (s, t) ∈ S × S: the first letter of s is equal to the first letter of t }. Then, R is an equivalence relation on S. Group of answer choices True False
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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Let S be the set of all strings of length 4 of letters in the set A = { a, b, c, d, e, f } (repetitions are allowed). Let R be the relation on S defined by R = { (s, t) ∈ S × S: the first letter of s is equal to the first letter of t }. Then, R is an equivalence relation on S.
Group of answer choices
True
False
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