The relation R=((a,a),(b,b)) on set X=(a,b) is. transitive symmetric reflexive anti-symmetric None from the choices. The relation R=((1,2),(2,3), (1,3)) on set A={1,2,3) is. anti-symmetric transitive symmetric reflexive None from the choices Graphs that may include loops, and possibly multiple edges connecting the same pair of vertices or a vertex to itself. multigraph loops directed undirected * pseudographs

Q: QUESTION 7 Given binary relation, R = {(0, 0),(1, 1),(2,2) } is is defined on set on A = {0, 1, 2,…

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Q: Let A={1,2,3,4} and the relation R={(1,1), (2,2), (3,4), (4,3), (4,4)}. Select the properties of the…

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Q: Let A be the towns {P, Q, R, S}. Let B be the one way street relation {(P, S), (Q, P), (R, P), (S,…

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Q: Draw Hasse graph of partially ordered set (A,), where A=(1), (2) and (4) 2), (1, 4), (2, 4), (3, 4),…

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Q: Determine whether the relation with the directed graph is an equivalence relation:

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Q: 7. (Relations) Consider the set A = (1,2,3, 4, 5}, and a relation R defined by zRy + 2-y is an…

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: Let R be a relation on the set A = {0, 1, 4, 8} defined by xRy if and only if x + y < 8. (i) List…

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Q: . A) Write the ordered pairs, graphical representation, and the relation matrix, for  the Relation R…

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Q: Q3: Let A = {a, b, c, d} and define relations Ri. R, Rs, and Ri on A, what would be their directed…

A: As per bartleby guidelines for more than three subparts in a question only first three should be…

Q: 13. Let A be the set A = {a, b, c, d}. Consider the relation R on A given by R = {(a, a), (b, b),…

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Q: Identify the relation on set (1,2,3,4} if it is reflexive, symmetric, antisymmetric or transitive.…

A: We know that , relation is relationship between sets of values. A binary relation R defined on set A…

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

A: We will find out the required value.

Q: Consider the relation on A = {a, b, c, d, e} given by R ={(a,b),(b,c),(b,d),(b,e),(d,e)} .Explain…

A: Given that, A=a,b,c,d,e And R=(a,b),(b,c),(b,d),(b,e),(d,e) The graph for the diagram is,

Q: 7. Let A=(1:2:3; 4) and R be the relation on (A) List the ordered pairs in the relation R. (B) Find…

A: Since you have posted multiple questions we will provide the solution only to the first question as…

Q: How many (distinct) equivalence classes does the relation R-(1.1), (2.2) (3,3),(4,4), (1,2), (2.1).…

A: The relation is R=1,1,2,2,3,3,4,4,1,22,1,3,4,4,3 The set is X=1,2,3,4

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: Draw a directed graph for the relation R on the set {0, 1, 2, 3) given by 10. R = {(0, 1), (0, 2),…

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A: To find- Which of the following relations represented by the directed graph is symmetric?   Concept…

Q: The participation of relation R can be: total, partial, onto, and into. Given A = {1, 2, 3, 5} and B…

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Q: Identify the missing ordered pairs from the given list. The list of all ordered pairs in the given…

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Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: A relation R on a set A with elements a, b and c is said to be in a transitive relationship, then if…

Q: The following definitions are used: a relation on a set A is defined to be irreflexive it, and only…

A: The given set is A=01,2,3 The given relation is R=0,0,0,1,0,2,1,2. (i) Using the definitions of…

Q: (b) Let A = {1,2,3}. Consider the relation R on A given by R = {(1,2), (1,3), (2,1), (2,3), (3,2)}…

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Q: On the set X = (1,2,3,4) find the relation R1 which is not reflexive is symmetric, is not…

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Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: We have: The relation is: R=a,c,b,a,c,d,d,b

Q: Write a function that returns true (1) if u and v have an edge in a directed graph represented by…

A: Since you are not mentioning the programming language, here we are using C++ to complete the…

Q: The relation R= {(1,1),(1,4),(2,3),(2,4),(3,1),(3,4)} on the set {1,2,3,4} is : Select one: O a. not…

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Q: 4), (4,2)} Draw the diagraph of R

A: # As per the guidelines we are entitled to solve three subparts at a time ,please resubmit the other…

Q: 9. List the ordered pairs in the equivalence relation on A = {1, 2, 3, 4, 5} associated with these…

A: Equivalence relation is relatuon which is reflexive, symmetric and transitive.

Q: a) Relation R is defined on Z as follows: for every a, b € Z, a R bif 4 | (a - b) (i.e., 4 divides…

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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: For the following directed graph, do the following: 1. give (in set notation, e.g. { (a,b), (c,x),…

A: Given is a directed graph   1. To Find: Relation expressing the directed graph.   2. To Find:…

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: Decide whether the following relations is a partial order or not. (a, b) | a Í b, a and b are…

A: We have to decide whether given relation is partial order or not?

Q: Let A = {0, 1, 2, 3), and define a relation R, on A as follows: R₂ = (0, 0), (0, 1), (1, 1), (1, 2),…

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