Let A = {-1,0,1} and R be a relation on A such that R = {(a,b)|a² =b}. Select all properties of this relation.

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: 1. 2. b 1 1 0 1 3 0 1 1 0 0 0 1 1

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Q: Define the relation R = {(a.b): a + b < ab} = A x B with A = {1,2,4} and B = {2,5,6). List all the…

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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: Let Y be a relation defined by a Y b iff a times b is even. Is 5 Y 7 true?

A: Here, the given problem is on relation on set. We will solved the problem  step by step.

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: Let A = {0, 1}. Determine all relations on A

A: The numbers of relations on A  2n2 n is the number of elements in the set 222=24=16

Q: Verify the relations (5).

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Q: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

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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: Define a relation R on the set of all integers Z as follows: for all integers m and n, m R n → m = n…

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

A: A relation R is said to be symmetric if a,b∈R implies b,a∈R. It is given that A = {1, 2, 3, 4, 5, 6,…

Q: List the ordered pairs in the relation R from A={0,1,2,3,4} to B={0,1,2,3} where (x,y) R if only if…

A: 1. As 0≤0, 0≤1, 0≤2, 0≤3, 1≤1, 1≤2, 1≤3, 2≤2, 2≤3, 3≤3 So the ordered pairs relation is R = {(0, 0),…

Q: Let A={a,b,c,d} and let R={(a,b)(b,c)(c,d)(d,b)} be a relation on A. Represent the relation using…

A: Given  A = {a, b, c, d} R = { (a, b), (b, c), (c, d), (d, b)}

Q: Suppose that the relation R is reflexive. Show that R* is reflexive.

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Q: A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference…

A: The difference between x and y is odd That is possible for  1-4=-3 1-6=-5 2-9=-7 3-4=-1 3-6=-3 5-4=1…

Q: cercise 2. Give an example of a relation R on A = {1,2,3} that is neither reflexive or irreflexive.

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

Q: Let A={5,10,15,20, 25} and a partition of A be: {5,25},{10, 20} , {15} (a) Write all pairs of the…

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Q: Let A = {1,2,3,4} and B = {A,B, C, D, E}. Consider the following relations and state whether…

A: A relation will be function if for each x∈A  there exists a unique b∈B with (a, b) ∈ f. In other…

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 = {1, 2, 3}, B = {a, b, c), and C = {6, 8}. Let R = {(1, a), (2, c), (3, b)} be a relation…

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Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

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