Select the correct statement(s) for the relation R, defined on the set A = { a, b, c, d, e } by R= {(a, a),(a, b), (a, c), (a, d), (a, e), (d, d), (b, b), (c, c), (e, e)}. R is transitive. R is symmetric. R is reflexive. R does not have any of the properties above.

Q: 1. Consider the relation R = {(a, a),(b, b), (c, c), (d, d),(a, b), (b, a)} on set A = {a,b,c,d}. Is…

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Q: Select all pairs in the reflexive closure of the relation R, defined on the set A = { a, b, c, d }…

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Q: Let R be the relation on set {a,b,c,d} containing ordered pairs (a,b),(b,b),(b,c)(c,a)(c,c) and…

A: Given set is A = {a, b, c, d} and the relation R on set A is R = {(a, b), (b, b), (b, c), (c, a),…

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as 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: Define relations R₁, ..., R₁ on {1, 2, 3, 4} by R₁ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,…

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Q: Compute the complement of relation R. R={(1, 1), (5, 1), (5, 5), (6, 1), (6, 6), (7, 1), (7, 7)}

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Q: Let R be the relation on set {a,b,c,d} containing ordered pairs (a,c),(b,b),(b,a)(c,a)(c,d) and…

A: Here given that the set is A = {a, b, c, d} and the relation on A is given by R = {(a, c), (b, b),…

Q: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

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Q: Let X = {1, 2, 3, 4}. Let R = {(1, 3), (2, 1), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (a, b) },…

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Q: Let A = {1, 2, 3, 4, 5} and R be the relation defined by R = {(1,1), (2,2), (2,4), (2,5),…

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Q: Consider a relation R on the set A = {1, 2, 3, 4} defined by R = {(1, 2), (2, 3), (3, 4), (4, 1)}.…

A: A relation R on a set A is said to be:Reflexive: If every element of set A is related to itself.…

Q: Let R be the relation on a set A = {a, b, c, d} defined by R= {(a, a), (a, b), (b, b), (b, c), (c,…

A: If R is a relation on a set A, then R^2 is the set of ordered pairs (a, c) such that there exists an…

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8}.  How many possible symmetric relations over A contain the ordered…

A: A relation R is said to be symmetric if a,b∈R implies b,a∈R. It is given that A = {1, 2, 3, 4, 5, 6,…

Q: sider the relation R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} on the set {1, 2, 3, 4}. What is the…

A: We have to find transitive closure of R. Where R is R={(1,2),(1,4),(2,3),(3,1),(4,2)} on the set…

Q: Let R be the relation on set {a,b,c,d} containing ordered pairs (a,c),(b,b),(b,a)(c,a)(c,d) and…

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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: Consider the relation R = {(1, 1), (1,3), (2,4), (3, 1), (3,3), (4, 3),(4,5)} on the set A =…

A: Let R be a binary relation on a set A. R is said to be  reflexive if for all . R is said to be…

Q: Let A = {a, b, c, d} and let R = {(a, a), (a, b), (a, c), (a, d), (b, b), (b, c), (b, d), (c, c),…

A: The objective of the question is to determine which properties - reflexive, symmetric, and…

Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6 e (yes or no) whether R has…

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Q: Find the transitive closure of the relation R={(1,2),(2,2), (2,3),(3,3)} on the set A=(1,2,3}.…

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Q: let A= {a,b,c,d} and R= {(a,a),(a,c),(b,d),(c,a),(c,c),(d,b)} be a relation on A. What is the…

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Q: Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1),…

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Q: Let P={1.2,3,4,12,36} and the relation set R={(1,1)…

A: The objective is to show that (P,R) is a poser. Represent the relation using the diagraph and then…