Solution to Show that the following relations are Equivalence relations. Find out the Equivalence classes. (a) ρ … - Sikademy
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Archangel Macsika

Show that the following relations are Equivalence relations. Find out the Equivalence classes. (a) ρ = {(a, b) | a – b is an integer} on the set of real numbers R (b) R = {(a, b) | a = b or a = –b } on the set of integers Z (c) Congruent modulo 4 relation on Z: R = {(a, b) | a – b is divisible by 4} on set of integers Z (d) Congruent modulo 5 relation on Z: R = {(a, b) | a – b is divisible by 5} on set of integers Z (e) R = {(S1, S2) | Length (S1) = Length (S2)} on the set of strings {Si} of English letters (f) R = {(S1, S2) | If the first 3 bits of S1 and S2 are identical} on the set of all bit-strings {Si} of length 4 (g) R = {(S1, S2) | If the first 3 bits of S1 and S2 are identical} on the set of all bit-strings {Si} of length 3 or more

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Question ID: mtid-5-stid-8-sqid-2858-qpid-1415