3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R if x+y<6. a) List the elements of R. b) List the elements of R'. c) Find the domain of R. d) Find the range of R. e) Find the domain of R'. f) Find the range of R'. g) Is the relation R an equivalence relation? If so, list the equivalence classes.

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Q: ist the ordered pairs in the relation R from A = 0, 1,2, 3, 4, B = 1,2, 3, 4, 5, where Ris defined…

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Q: a)Let R be a relation on the set Z × Z defined by the following rule: For all (a, b),(c, d) ∈ Z × Z,…

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Q: disprove: a relation that is symmetric and transitive must TProve also be reflexive. or

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Q: List the ordered pairs in the relation R from A = 0,1,2, 3, 4, B = 1,2, 3, 4, 5, where R is defined…

A: A=0,1,2,3,4 B=1,2,3,4,5 a2=b

Q: Give a specific reason why the following set R does not define an equivalence relation on the set…

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Q: Q4) Find the following: 1- Find the relation Z from C to X where C = {1, 2, 3, 5} and X = {4, 6, 9}.…

A: Here, C=1,2,3,5X=4,6,9

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Q: Which relation on the set {a, b, c, d} are equivalence relations and contain(i) (b, c) and (c, d)

A: The set {a, b, c, d}.

Q: What is the reflexive closure of the relation R = {(a, b) | a > b} on the set of integers? Select…

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A: For relation R on a set A.   R is reflexive if (a,a)∈ R, for every a∈ A.   R is symmetric if (a,b)∈…

Q: A relation ~ is defined on the set of all pairs of integers by the formula (m,n) ~ (u,v) m - An =…

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Q: 10) Let R be a relation on A = {1,2,3,4,5,6,7} as x R yx + y = 6. a. Find relative set R(B), where B…

A: (10) Consider the provide question,  (a)

Q: 9. Define a relation R on {-2,-1,0, 1, 2, 3, 4, 5, 6, 7} by a R b if and only if 3a+b is a multiple…

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Q: 9. The relation ~ defined on the set of natural numbers by a ~ b means 'a – b is even is : A. an…

A: Equivalence relation : A relation which is reflexive, symmetric and transitive is an equivalence…

Q: 1. Verify that the relation ~ is an equivalence relation on the set S given. (a) S = R reals, a ~ b…

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A: Equivalence class of an element a is given by [a] such that [a]={b:(a, b) lies in R}

Q: 1, Let R be the relation defined on the set A = {1, 2, 3, 4, 5, 6,} Such that aRb means a+2 <= b.…

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Q: Please show the following question in detail, I don't understand one bit of it, " Let R be a…

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Q: A relation R is called atransitive if aRb and bRc implies cRa. Show that R is reflexive and…

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Q: 4. For each relation R below, determine whether it is an equivalence relation on the given set A.…

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A: (i) Paths of length 2 are a-b-d, c-d-c, a-c-d, d-d-c, c-c-d, d-d-a

Q: Describe the equivalence classes of the relation R = {(a, b) : a E Z,beZ, 13 divides (a - b)}

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Q: A relation R is defined on the set of natural numbers N={1,2,3...}  as follows: aRb means "b=a+6/a;…

A: Domain means all the values that can be taken so that the aRb is defined.

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Q: Plz explain properly.

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Q: 1. Let A = {2, 3, 4, 5, 6} and B = {10, 11, 12, 13). Define a relation R on (A x B) as follows: a Rb…

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Q: 6. Consider the set R2 and relation~: (1, 1)~ (2, 2) if and only if x2 = ₁ + m and y2 = ₁ +n for…

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