Ris a relation from A = {1,5} to A. The graph of the relation R is given by G = {(1,5), (5, 1), (1,1)}. Choose the correct one Select one: O A. R is antisymmetric O B. Ris reflexive O C. R is not transitive O D.R is not symmetric O E.R is a function

Q: Let the relation G be defined as {(1,2), (-1,2), (2,4), (3,8), (5, 12)}. a.Write the domain and…

A: According to guidelines we should have been able to solve only first question at a time. Let the…

Q: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х,…

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Q: Let A={3,4,6,7}, and define a relation R on A as follows: For every x, y belong to A, xR y x|y.…

A: We first write elements of R then we form diagraph and then we write the corresponding adjacency…

Q: 0,1,2

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Q: (7) Let f(z) be defined piecewise as follows: z+4 z50 f(z) = %3D |(1- 2) 1>0 Evaluate (a) f(-2),…

A: Use piecewise function concept

Q: 3. Which of these relations on the set of all functions from Z to Z are equivalence relations?…

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Q: 1. Given a function f : A → B. Define the relation f from P(A) to P(B) by f= {(X,Y) Ɛ P(A) × P(B)|Y…

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Q: 4. Let the relation M defined as M= /x ² – 49 a. Write the domain and range of M. b. Is Ma function?…

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Q: Let f : A → B be an injective function, a be an order relation on B and 3-1 = {(x, y) E A x A :…

A: An order relation means the criterion of comparison between objects, that satisfies the properties…

Q: Given R = { (x,y) ϵ R | x^2 = y^2, x,y ϵ A } on A = {1, 2, 3, 4, 5}, which of the following…

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Q: Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows: Given {x, y} € Z x Y,…

A: Relation : A relation between two sets is a collection of ordered pairs containing one object from…

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

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: . Define a relation from Z to Z as follows: For all x EZ and all y E Z, x and y are related iff y =…

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Q: Еxample The relation f is defined from (0, 10] to R by f (x) = 3x 3<x<10. 0<x< 2 The relation g is…

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Q: Question 10 A relation R on the set A is irreflexive if for every a E A, (a, a) ¢ R. A relation R on…

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Q: Define a relation on R^2 by (x1, y1) ~ (x2, y2) if y1 = y2. This is an equivalence relation. (You do…

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Q: Ris a relation from A= {2,3,4} to A. The graph of the relation R is given by G = {(2,4), (4, 3), (3,…

A: Option A is correct.

Q: d) Give an example of a relation that antisymetric. Your text defines antisymmetric as "A relation R…

A: Given that, Let C=x∈Z: x≡7 mod 9 and D=x∈Z: x≡1 mod 3 Give an example of a relation that is…

Q: A relation in x and y is given. Determine if the relation defines y as a one-to-one function ofx. y…

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Q: 5. Given a function f: A → B. Define the relation f from P(A) to P(B) by f = {(X,Y)C P(A) × P(B) | Y…

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Q: 7. Here you may use Desmos or another graphing utility to graph the following functions: 1 y = x, r=…

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Q: Q3. Let A = {n| 3<n< 30} and define a relation on A such that aRb iff (a + 1) | b. i. List the…

A: Hi! We are solving only (i) and (ii). As the other parts are lengthy, kindly re-post the question by…

Q: b) Let C = {1, 2, 3, 4}. Find a relation R on C that has exactly 3 ordered pair members and is both…

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Q: Let Y = {0, 1,2} and Z = {0, 1} and define a relation R from A to B as follows: Given any {x,…

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Q: Given R = { (x,y) ϵ R | (x+y) divides 3 with zero remainder, x,y ϵ A } on A = {1, 2, 3, 4, 5}, which…

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Q: For Exercise, a relation in x and y is given. Determine if the relation defines y as a one-to-one…

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Q: A relation R on a set A is called irreflexive iff (Vx E A)((x, x) ¢ R). It is called asymmetric iff…

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Q: 3. Define a relation S from R to R as follows: For all (x, y) e R xR, (x, y) eS means that x2 y. a.…

A: Given x,y∈S  Mean x≥y    x,y∈R×R

Q: 5. Given a function f : A → B. Define the relation ƒ from P(A) to P(B) by f = {(X,Y) C P(A) × P(B) |…

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Q: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х,…

A: Since you have posted multipart question and we can answer three subparts. So, answering the first…

Q: Α) Reflexive (No), symmetric (No), transistive (No) Reflexive (Yes), symmetric (Yes), transistive…

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Q: 12. Define a relation A from R to R as follows: For all (x, y) e R×R, (x, y)e A means that x y a. Is…

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Q: Given a function f: A → B. Define the relation f from P(A) to P(B) by f = {(X, Y ) is an element of…

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Q: A relation R is called circular if (a, b) E R and (b, c) e R implies that (c, a) e R. Show that a…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve the…

Q: Given a function f : A → B. Define the relation f from P(A) to P(B) by f = {(X,Y) C P(A) × P(B)|Y =…

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Q: 11. Define a relation P from R to R as follows: For all real numbers x and y with x>0, (x, y)e P…

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Q: Given a function f : A → B. Define the relation f from P(A) to P(B) by f = {(X,Y) E P(A) × P(B)|Y =…

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Q: Define a relation P from R to R as follows.for all real numbers X and Y with X>0 (X,Y)€P means that…

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Q: Let E =(1, 2, 3} and F = {-2, -1, 0} and define a relation T from E to F as follows: For all (x, y)…

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Q: 6. Define a relation from R to R as follows: For all (x, y) ER X R, (x, y) ER means that y = x2. a.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Let T be the relation in the set of real numbers IR defined by xTy of both xe [n, n+1] and ye[nin+1]…

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Q: Define an equivalence relation on R² by: ¤1, Y1) ~ (x2, Y2) e if and only if (*1, Yı) and (x2, Y2)…

A: The complete solutions are given below

Q: 5. Given a function f : A → B. Define the relation f from P(A) to P(B) by f = {(X,Y) C P(A) × P(B) |…

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Q: Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows: Given {x, y} € Z × Y,…

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Q: LeA R be the relation defined the se4 Nx Z that (xy)EIC on so if and only if a) What is. the domain…

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Q: 5. Given a function f : A → B. Define the relation ƒ from P(A) to P(B) by f = {(X,Y) C P(A) × P(B) |…

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Q: A relation R on A = {1,2, 3, 4} is defined by x R y x² – y? < 0. (i) List all the ordered pairs that…

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Q: Let A = {1, 2} and B = {-1,0, 1}. Answer the following questions using careful, accurate notation…

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