Let A = {1, 2, 3, 4, 5, 6, 7, 8}.  How many possible symmetric relations over A contain the ordered pairs (2, 3), (3, 2), (4, 7), (5, 5) and (8, 7)?

Q: Let A = {0,1,2,3} and R be the relation on A given by R =…

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Q: List the ordered pairs in the relation R from A ={0,1,2,3} to B = {0,1,2,3} where (a,b) ϵ R, if and…

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Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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Q: 2. Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5,-2),…

A: The given relation is -2,5,-1,3,0,-1,1,-3,2,-5,3,-7

Q: If R ={ (1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} is a relation on {1, 2, 3, 4}. Find the reflexive…

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Q: Let A = {1, 2, 3, 4, 5}. Define the following relations on A. R1 = {(1,1), (1,2), (2,1), (3,2),…

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Q: For each of these relations on the set {1,2,3,4}, decide whether it is reflexive, symmetric,…

A: The Reflexive Property states that for every real number x,x=x x , x=x . Symmetric Property. The…

Q: 2.  LetA={0,1,2,3,4}.  Write out the relation R that expresses ≥ on A.

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Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9} and let R be the relation {(a,b) ! a , b} Find the smallest…

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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 A={5,6,7,8,9,10} and define a relation S on A as follows xSy 2|(x-y) (a) Is 5S6? Why?

A: Consider the provided question,

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: Let R1 = {(1,1), (2,2)} and R2 = {(1,1), (1, 2)} be relations on A = {1,2}. Then R1 UR

A: In this question given that two sets R1 and R2 and we find the unions  of these sets and relation of…

Q: (a) Ri (b) R2= {(1,2), (1,3),(1,4),(2,2),(3,3),(5,3),(5,4),(5,2)} /hich of them is an equivalence…

A: Any relation is equivalence relation if satisfy the following conditions where is set of elements a)…

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: Relation : A relation from a set A to a set B is a subset of A×B. i.e. a relation R consists of…

Q: Which of these relations on {0, 1, 2, 3} are ?equivalence relations a) {(0, 0), (1, 1), (2, 2), (3,…

A: Given set = {0,1,2,3} As equivalence relation is reflexive, symmetric and transitive

Q: You are given two sets, A = {a,b,c,d} and B = {1,2,3}. How many relations can be defined from set A…

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Q: Let

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Q: Let A= {0,1,2,3,4} and a partition of A be: {0,2},{1},{3,4} (a) Write all pairs of the relation…

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Q: 4. Let R and S be relations defined on the set A. If both R and S are symmetric relations, are: a) R…

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Q: Which of the following relations on the set {1,2.3,4} are reflexive, symmetric and transitive? R1 =…

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Q: Let Let A={2,4} and B = {1,3,5} and define relations U, V, and W from A to B as follows. For all (x,…

A: Given that -  Let A={2,4} and B = {1,3,5}

Q: Consider the relation R = {(a, a), (c, a), (b, c), (d, b)} then which of the following set…

A: We need to find R3 given R=a,a,c,a,b,c,d,b Now,  R2=RοRR3=RοR2=R2οR The composition of two…

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Represent the relations on {1, 2, 3, 4} with a matrix and digraphs.  (The rows and columns…

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Q: Let Z = {1,2, 3, ...,50}. a. How many relations on the set Z are both reflexive and antisymmetric?…

A: Here given set Z=1, 2, 3, ....., 50

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

A: Relation R^2 is nothing but R∘R. Then required relation is given by composition of R and R.

Q: Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (1, 2), (2, 3), (1, 3),(3, 3)}.…

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct option  Explanation…

Q: Which of these relations on {O, 1, 2, 3} are ?equivalence relations а) (0, 0), (1, 1), (2, 2), (3,…

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Q: For each of these relations on the set {1,2,3,4}, draw the graph of the relation: {(1,1), (2,2),…

A: For each of these relations on the set {1,2,3,4}, to draw the graph of the relation.

Q: Write the relation matrix for the relation R on the set {a,b,c,d,e,f} which is defined as follows:…

A: We have to Write the relation matrix for the relation R on the set {a,b,c,d,e,f} which is defined as…

Q: Let A- {#, 7, x} and let R be the relation on. A given by R {(7, 7). (#, #)}. Prove or disprove…

A: Transitivity is a property of verbs that relates to whether a verb can take objects and how many…

Q: Which relation has a domain of (3, 5, 8} ? O(2.8). (1. 3), (3, 5)} O(3, 8). (5. 3). (3, 5)} O (3.…

A: Domain of relation: The set containing all the first elements of all the ordered pairs of relation R…

Q: Let S = (0, 1, 2, 3} and the relations A, B, and C on S are as follows: %3D A = {(0, 0), (0, 1), (0,…

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

A: Given A=1,2,3,4,5,6,7,8 contains the ordered pair 2,3,3,24,7,5,5 and 8,7 Since, for the diagonal…

Q: . Draw the Hasse diagram of the relation R on A, where A = (1, 2, 3, 4}, and R = {(1, 1), (1, 2),…

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Q: Let A = {2,7,8,10} and B = {1,5,8,12} and let & be the "greater than or equal to" relation. That is,…

A: The given sets are A=2,7,8,10 and B=1,5,8,12 To find: The ordered pairs which satisfies σ and σ-1

Q: Let R1 = {(1,1), (1, 2)} and R2 = {(1,1), (2, 2)} be relations on A = {1,2}. Then R1 U R2 = .... O…

A: Let ,  R1 = {(1, 1), (1, 2)} and R2 = {(1, 1), (2, 2)} be relations on A = {1, 2}  We have to find…

Q: Let A = {1, 2, 3} and consider the relation R = {(1, 3), (2, 3), (1, 1), (2, 2)}. Then R is neither…

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Q: 6. If A = {1, 2, 3} and B = {2, 3, 4}, and R is the relation xRy when x + y is divisible by 3, then…

A: Given: A={1,2,3} B={2,3,4}

Q: * ?Which of these relations on {0, 1, 2, 3} are equivalence relations a) {(0, 0), (1, 1), (2, 2),…

A: A and C are the equivalence relations

Q: 2. Let X = {a,b, c, d, e, ƒ} and S be the relation on X defined by S = {(a, a), (a, b), (a, c), (a,…

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

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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: 9.16. Let A = {a, b, c, d}. How many relations defined on A are reflexive, symmetric and transitive…

A: given A=a,b,c,d claim- how many realations defined on A are reflexive , symmetric and transitive and…

Q: Let A= (2,3,4) and B= (2,6,8) and let R be the "divides" relation from A to B:  For all (x, y) £ A…

A: Now, A=2,3,4 and B=2,6,8 The set A×B is: A×B=2,2,2,6,2,8,3,2,3,6,3,8,4,2,4,6,4,8 We have the…

Q: Let S = (0, 1, 2, 3} and the relations A, B, and C on S are as follows: A = {(0, 0), (0, 1), (0, 3),…

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Q: Which of these relations on {0, 1, 2, 3} are * ?equivalence relations а) ((0, 0), (1, 1), (2, 2),…

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Q: The binary relation {(1,1), (2,1), (2,2), (2,3), (3,1), (3,2)} on the set {1, 2, 3} is O reflexive,…

A: Relation