Define an equivalence relation R on the set A = {2,3,4,...,20} by mRn if the largest prime divisor of m is the same as the largest prime divisor of n. The number of equivalence classes of R is Select one: a. 9 b. 10 c. 8 d. 7 e. 11

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Q: Consider the set A = {2, 3, 5, 11, 12, 13} and the relation Va, b E A, a R b → a = b mod 3. List all…

A: Given the set, A=2, 3, 5, 11, 12, 13 and the relation ∀a,b∈A, a R b↔a≡b mod 3

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A: Set of integers is defined as {... -3, -2, -1, 0, 1, 2, 3,....}. A partition of a set is defined as…

Q: (b) Let R be the equivalence relation on the set S = {1,3, 5, 7, ..., 49} defined by x Ry if and…

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Q: . How many equivalence relations are there on the set S = {1, 2, 3, 4, 5}? 15 45 60 52

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Q: Another example of a relation is the divisibility relation (denoted by ), that is, for A=N, where N…

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Q: 2. Suppose A = {1, 2, 3, 4, .. , 14, 15} and let R be the relation of congruence modulo 5 on the set…

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A: Hello, thanks for your question but according to our policy, I am answering the first three parts.…

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Q: The equivalence class of -1 for the relation congruence modulo 5 is о (.., -12, —7, —2,3, 8, 13, ..}…

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Q: The equivalence class of -1 for the relation congruence modulo 5 is O {...,-12, –7, –2, 3,8, 13,…

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Q: Let R be a binary relation on A={1,2,3,43 defined a is related with b) if a²-b² is divisble by 3.…

A: Bartleby Guideline: According to Bartleby's guideline I can solve the first three subparts at a time…

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A: 6 Given set is A=1,2,3. Consider the relation R and S on A is given by  R=1,1,2,2,3,31,2,2,1 And…

Q: 2) Let m +0 be an integer. Show that Rm := { (a, b) E Z × Z|m divides a – b} is an equivalence…

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Q: Which of the following statements are true about an equivalence relation R on a set A? (Select all…

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A: We know equivalence classes are disjoint classes. Since R has 5 elements . Hence , possible cases…

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A: R is an equivalence relation  if   is known to be an equivalence relation.To prove this, we need to…