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 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: On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a;…

A: The set is A=a, b, c, d, e, f, g, h and the relation is R=a; b, a; c, a; d, a; e, b; f, c; f, d; g,…

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: 8. Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b,…

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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

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: Suppose the following relations are defined on the set of A = {-2, -1,0 1, 2, }, . List the pairs in…

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: . Sketch the graph of the set defined by A x B where A is the closed interval [-2, 4] and B = {1, 3,…

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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: Q3 MULTIPLE CHOICE One answer only Which of the following statement on limits is correct? 2n²+3n+5…

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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: In mathematics, a homogeneous binary relation R on a set X is reflexive if it relates every element…

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

A: Given, A = 1, 2, 3, 4, 5xRy ⇔x2-y is an integer multiple of 3.

Q: Given the relation R- {(1,1), (2.2). (3,3).(4.4), (1,2). (2,1). (3,4), (4,3)) on the set X…

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Q: Give an example of a nonempty relation R on A = {1, 2, 3, 4} which is a. symmetric and transitive…

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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: Which relations are partial order? O A={5,6,8,10,20} and R={ (a,b) E A x A; a divides b} O Let…

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Q: 5. Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1, 1), (1, 2), (1,…

A: Let R be the relation on the set 1 , 2 , 3 , 4 , 5 containing the ordered pairs  1 , 1 , 1 , 2 , 1 ,…

Q: Let R = {(1,1), (2,2), (3,3)} be a relation on a set A-{1.2.3}. then R? is equal to R is %3D O True…

A: Sets and relations are correlating with each other in the context of how they are interrelating to…

Q: 1), consider the relation of R= {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2),(3, 3)…

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Q: b) The relation R on A = {a, b, c, d} is defined by the following digraph. b (i) List all paths of…

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: 1. Suppose A = {1,2, 3, 4} and the relation R on A is R = {(1,1), (2, 2), (3,3), (3, 4), (4, 4)} (a)…

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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: 1. (1 pints) Let A = {a,b,..., z} and B = {1,2,..., 10} and define f = {(c, 6), (b, 9), (b, 8), (d,…

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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: ction 1.3: Let A = {-2, –1,0, 1, 2} and B = {1,2,3,5}, and define a relation R from A to B as lows:…

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Q: Draw a directed graph diagram for relation S on {0, 1, 2, 3,4}, where TSy iff x + y = 4

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