4.4.6 Determine if the following relations are reflexive, irreflexive o ther (a) The relation x < y on the set Z. (b) The relation "x is married to y" with domain and codomain the a of all people in the USA (c) The relation r= { (x, y) e N x N: x-y = 1 }. Scanned with CS CamSca (d)eThe relation r2 = {(3, 4), (4,4), (2, 3), (3, 3), (1,2), (2,1), (4,3).

Q: Let the relation M defined as M={(x,y)|y = /x²-49 a. Write the domain and range of M. b. Is M a…

A: We have to answer all the questions.

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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: The relation D is defined on the set P = {6, 9, 15, 54, 78, 90} by the rule: n1 D n2 exactly if (n2…

A: (i) The relation D is defined on the set P=6, 9, 15, 54, 78, 90 by the following rule: n1 D n2…

Q: Let A = {1,2,3,4} and B = {5, 6, 7). Let f be the relation f = {(1,5), (2,5), (3, 6), (?, ?)} where…

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Q: 3. a. If R is a relation defined from the Set A = { 6,12,25,36} to the set B = {3,4,5,6} as follows:…

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Q: Let A = Z+ x Z+. Define a relation R on A as follows: For all (x, y) and (z, w) in A, (x, y)R(z, w)…

A: We will find out the required values.

Q: Q4) Let S be the set of registration numbers of students enrolled in a BSCS program in a university…

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Q: Do question 6 only

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Q: 11. If |A| = 3, how many relations are there on A?

A: Given A=3

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Q: Let X = {x € Z+ | 15 < 4.x < 22} and Y = Define a relation R from X to Y as follows. Given any (x,…

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Q: (b) Observe that all the relations in (a) are equivalence relations. Prove that this is true in…

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Q: () -- () --()-() --- Let vi = 2 v2 = 4. 5, v3 = 6 v4 = 6. 7 If is a depen- 1 dence relation on (v1,…

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Q: Define the following relations on A = {2, 4, 5, 7}. Answer each of the following questions by…

A: According to the Bartleby guidelines,I solve first three subparts only and repost the remaining.

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A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: 4.4.5 Write out the following relations as subsets of the Cartesian pod (a) The relation on N…

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Q: 6. Consider the set A = 10 = {0, 1, 2, ..., 9} and consider the relation R on A determined by a Rb…

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A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: QUESTION 2 Define a relation on Nx N as follows: (a, b) R (c,d) a+d=b+c (2.1) Is (3,6) R (3,5)?…

A: We have to show that the given relation is an equivalence relation.

Q: 4. Define a relation R on N by aRb if a and b have no common factors except 1. (a) Give an example…

A: We have define  a relation R on natural numbers (N) by aRb if a and b have no common  factors except…

Q: Do question 5 only

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A: The relation ≺ is defined as follows:  x1,y1≺x2,y2 if and only if x1&lt;x2 or x1=x2 and y1≤y2

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Q: The relation R defined on Z by aRb if 3 | (2a + 7b) is an equivalence relation. the equivalence…

A: The objective of the question is to understand how the equivalence classes for the given equivalence…