8. Let R be the relation on the set of ordered pairs of positive integers such that (a, b), (c, d) € R if and only if ad = bc. Show that R is an equivalence relation.

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

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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: A=0,1,2,3,4 B=1,2,3,4,5 a2=b

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

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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: 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: 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: Define a relation R on the set N of natural numbers by R = {(x, y) : y = x + 5, x is a natural…

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Q: Let S be the relation on the set R^2 defined by (x, y) S (w, z) if |x| + |y| = |w| + |z|. Prove or…

A: Definition of an Equivalence Relations: A relation R on a set A is an equivalence relation if…

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 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: 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: A 2 2. 3 4 3. 4.

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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 Ris defined as (a,…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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 N be the set of all natural numbers and let R be a relation in N, defined by R = {(a, b)} : a is…

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

A: A relation R on a set A is said to be:Reflexive: If every element of set A is related to itself.…

Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

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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: Give an example of a relation over the set {0, 1, 2, 3} that is not reflexive, not symmetric, and…

A: We need to give an example of a relation over the set {0, 1, 2, 3} that is not reflexive, not…

Q: Define a relation on Z x Z, xRy, |x - y| < 1. Is R reflexive, symmetric, and/or transitive? Explain…

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Q: State whether the statement is true or false : '' All relations are mapping but the converse is not…

A: we know that  All mapping are relation, but the converse is not true .

Q: Define a relation Pfrom R+ to R as follows: For all real numbers x and y with x> 0, (x, y)E P means…

A: Introduction: A relation is a subset of Cartesian products of two sets. In each ordered pair, there…

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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