Let R be the relation on the set A = [1,2,3] containing the ordered pairs (1,3), (2,1), (2,2), and (3,2). Find the reflexive closure of R.

Q: For the relation R closure of R. {(1,2), (1,4), (3,3), (4, 1)} find (i) R2 (ii) R3 and (iii)…

A: The given relation,

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: Let R be the relation {(a, b) | a‡b} on Z. Then, the reflexive closure of Ris

A: The smallest reflexive relation containing the original relation is called the reflexive closure of…

Q: Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}. Choosethe correct…

A: Given : Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}.  Choosethe…

Q: {0, 1, 2, 3, 4, ...} and define the relation - on A by: x~y if x – y is divisible by 3 Determine…

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Q: 13 - Let A={0,1,2,3} and R be the following relation on A: R= {(0, 0), (0, 1), (O, 2), (1, 0), (1,…

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Q: Let R = { (1,1), (3,1), (2,1),(2,2), (1,3) } be a relation on the set A = {1,2,3}. (a) Determine…

A: Explanation of the answer is as follows

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: 6. Find the transitive closure and the reflexive transitive closure of the relations R below defined…

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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: Assignment: A. Find the general equation of a circle whose center and radius gre:

A: A circle is a locus of points such that the distance from a fixed point is constant. The fixed point…

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 A = {1, 2, 3, 4, 6). Let Ri be a relation defined on A. a. Verify reflexive property on the…

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Q: Let R = {(1, 2), (2, 3), (2, 4)} be a relation on {1, 2, 3, 4). a. Show that R is not transitive. b.…

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

A: Given set is A = {1, 2, 3, 4, 5} and relation is R = {(1, 1), (1, 2), (2, 2), (2, 5), (3, 1), (3,…

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, d}. How many relations defined on A are re-flexive, symmetric and transitive and…

A: The objective of this question is to find the number of relations defined on set A that are…

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

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

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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: Let R be the relation on the set (0, 1, 2, 3} and R= {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3,…

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Q: Let A = {2, 3, 4, 8, 9, 12}, and let the relation R on A be defined by aRb if and only if (a | b ^…

A: A set of ordered pairs is referred to as a relation in the area of mathematics and computer science.…

Q: List the ordered pairs in the relation R from A=0,1,2,3, 4 B =1,2,3, 4, 5, where Ris defined as (a,…

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

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