Check whether the relation R on the set S = {1, 2, 3} is an equivalent relation where ? = {(1,1), (2,2), (3,3), (2,1), (1,2), (2,3), (1,3), (3,1)}. Which of the following properties R has: reflexive, symmetric, anti-symmetric, transitive? Justify your answer in each case?

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

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

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

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

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Q: Let A= {1, 2, 3, 4, 5,6,7,8}, and let R be the relation on A defined as follows: R = {(1, 2 ), (4,…

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Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

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

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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: Given that T is a relation on the set {1, 2, 3, 4}, and the set of ordered pairs is: T = {(1, 1),…

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Q: Given the relation R = {(1,2),(2,3)} on the set A = {1,2,3} . What is the minimum  number of ordered…

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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: Let R1 and R2 be the relations on {1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 =…

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Q: Let A = {1, 2, 3, 4, 5, 6} and R = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (2, 3), (3, 2)}.…

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Q: R={(0,4), (3,0), (3,1), (4,2)}. Find transitive closer of R. Show diagram. A=Z+ x Z+ show relation R…

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Q: Describe the equivalence classes of the relation R = {(a, b) : a E Z,beZ, 13 divides (a - b)}

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Q: Other Math 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…

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Q: Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive,…

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Q: For each relation on {0, 1, 2, 3} below show that the relation is an equivalence relation, or show…

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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: Using the relation {(1, 2), (1, 4), (3, 3), (4, 1)}, write the relations that have the minimum…

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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: Let R be the relation on R defined by Ry if and only if ry 1. Thus R can also be represented as (r,…

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Q: In each case below, a relation on the set {1, 2, 3} is given. Of the three properties, reflexivity,…

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

A: A relation R is called reflexive on a set A if (x,x) is in R for all x in A. A relation R' is called…