Let A = {1, 2, 3, 4}. Give an example of a relation on A that is (R = Reflexive, S = Symmetric, T = Transitive) (a) R and S but not T.                 (b) R and T but not S. (c) S and T but not R.                  (d) R but neither S not T. (e) S but neither R not T.                  (f) T but neither R not S.

Q: If A = {1,2,3,4} give an example of a relation R on A that is: Reflexive and symmetric but not…

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Q: B. Consider the following relation on {1, 2, 3, 4, 5} R1 = {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3),…

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Q: 7. (6 points) Let T be a relation defined on the set A = {1,2,3} such that T = {(1,1), (1,2), (2,2),…

A: The objective of the question is to determine whether the given relation T is reflexive, transitive,…

Q: 1. 2. b 1 1 0 1 3 0 1 1 0 0 0 1 1

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Q: Let A = {6, 9} , R relation on A defined R by. %3D R = {(a, b): a +2 = b -1 ,a, b E A}. Write R. %3D

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Q: Consider the relation R= {(a, b), (a, c), (c, c), (b, b), (c, b), (b, c)} on the set A = {a,b,c}. Is…

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Q: Given that T is a relation on the set {1, 2, 3, 4}, and the set of ordered pairs is: T = {(1, 1),…

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Q: 1) A={1,2,3,4} Relation R on A is R={(1,1),(2,2),(2,3),(3,2)(4,2),(4,4} a. Is R reflexive? Justify…

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Q: Let A = {a, b, c} and B = {r, s, t,u}. Furthermore, let R = {(a,s), (a, t)}, (b, t) be a relation…

A: Step:-1 Given that A=a, b, c,  B=r, s, t, u And R=a, s, a, t, b, t that is,  Hence,  Domain of R =…

Q: Let R = { ( a, b ), ( a, d ), ( b, d ), ( c, a ), ( c, c ), ( d, b ), ( d, c ) } be a relation on…

A: Given: R=a,b,a,d,b,d,c,a,c,c,d,b,d,c   The relation R2 contains all ordered pairs (x, z) if (x, y)…

Q: Let A = {1,2, 3,4,5,6,7,8,9} and R be a relation in A ×A, defined by (a, b) R(c, d) → a + d = b + c…

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Q: Given that T is a relation on the set {1, 2, 3, 4}, and the set of ordered pairs is: T = {(1, 1),…

A: Reflexive: If every element in set A is related to itself, i.e., (a, a) ∈ R for every a in…

Q: Which of the following relations is the Symmetric relation over the set A= {3,5,13}…

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Q: Select the correct statement(s) for the relation R, defined on the set A = { a, b, c, d, e } by R=…

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Q: For non empty binary relation R={(a, a).(a, b).(a, e).(b, b).(b, e).(c, C).(c, d).(d, d).(e, e)} on…

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Q: Consider the following relation on {1,2,3,4}. Check is equivalence or not? R= {(1, 1), (1, 2), (2,…

A: Follow next step

Q: Let A = {1, 2, 3, 4, 5, 6} and R = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (2, 3), (3, 2)}.…

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Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O {{1, 2}, {3,4}, {5, 6}} O…

A: topic - relation

Q: Let R be a relation from A to B and defined "x is at least twice as big as y." Write R as a set of…

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Q: Let A = {12, 13, 15, 16} and B ={13, 15, 17}, and let the relation R from A to B be defined by…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let A = {5, 6, 7, 8, 9, 10} Let R be a relation on A defined by R = {(a, b) : a e A, be A, Ja -…

A: Given,          Let A= 5,6,7,8,9,10  .           Let R be a relation on A defined by R=a,b :…

Q: Let A = {1, 2} and let B = {2, 4, 7}. Let R be a relation defined as follows: (x, y) = R means that…

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Q: Let R and S be two relations both on A. Show that (a) If R and S are both reflexive, is RnS also…

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Q: Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive,…

A: Relation R={(a,b)} is defined on set S={a,b,c}A relation R across a set S is reflexive if each…

Q: Define the relation r on S = {A, B, C, D} by r ={ (A,B), A,D), (B,A), (B,C), (C,A), (C,B), (D,B)}.…

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Q: Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and…

A: According to the guidelines,we can solve only first three subparts.

Q: 4. Let G = {–2, 0, 2} and H = {4,6, 8} and define a relation V from G to H as follows: For all (x,…

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Q: 3. Let S = R × R and R be the relation on S defined by (a, b)R(c, d) iff a+c=b+d. Determine whether…

A: Reflexive: (x,y) R (x,y) As x+y=x+y Symmetric : if (a,b)R(c,d) then a+b=c+d. Since c+d=a+b then…

Q: Define a relation R on the set {1, 2, 3, 4} as follows: T = {(1, 4),(2, %3D 3),(2, 4),(4, 1),(2,…

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Q: Prove or disprove: If a relation is symmetric and transitive, then it is also reflexive

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