Problem 6. Consider the relation R = {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2, 3, 4}. a) Find the reflexive closure of R. b) Find the symmetric closure of R. c) Find the transitive closure of R.

Problem 6. Consider the relation R = {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2, 3, 4}. a) Find the reflexive closure of R. b) Find the symmetric closure of R. c) Find the transitive closure of R.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...

See similar textbooks

Related questions

Q: For the relation R closure of R. {(1,2), (1,4), (3,3), (4, 1)} find (i) R2 (ii) R3 and (iii)…

A: The given relation,

Q: given two sets X-{-1,0,1} and Y={u,v,x,y,z}. There are mappings from X to Y.…

A: The set X=-1,0,1 and Y=u,v,x,y,z

Q: PROBLEM 2 Let R be the relation on R defined by R= {(r,y) € R : y )

Q: Question 17 How many elements are there in the relation S on the set {1, 2, 3,..., 100}, where S =…

Q: given two sets X={-1,0,1} and Y={u,v,x,y,z}. There are 125 mappings from X to true or false

Q: Let a relation S be defined on A = {0, 1, 2, 3} as follows. S= {(0, 0), (0, 3), (1, 0), (1, 2), (2,…

Q: R, S, and T are relations defined on A {0, 1, 2, 3}. Let S = {(0, 0), (0, 3), (1, 0), (1, 2), (2,…

Q: The closure of (-co0,2) in the left ray topology is A) (-c0,2) [B) (-0,2 C) R D) O

Q: 4. Consider the relation R = {(-3, –3), (-3, –5), (-5, –7), (–7, –3), (–7, –7)} on the set А 3D {-1,…

A: We have to (a) To Draw Directed Graph. (b) To find R2=RoR.

Q: Consider the relation ? = {(1,1), (1,3), (2,2), (3,1), (4,4)} on the set {1,2,3,4}. Find the…

A: Consider the relation R = {(1,1), (1,3), (2,2), (3,1), (4,4)} on the set {1,2,3,4}. We need to find…

Q: PROBLEM 30. For (x, y) and (u, v) in R2, define (x, y) ~ (u, v) if x² + y² = u? + v?. Prove that…

Q: Problem 3.21. Give R the standard (order) topology. Show that every point of R is a limit point of…

Q: Problem 6. Let A = {a, b, c, d}. Define R on A as follows: R%3D {(а, а), (b, а), (с, а), (с, d), (d,…

A: Given that A=a, b, c, d and R=a, a, b, a, c, a, c, d, d, a We have to find reflexive closure,…

Q: Show that the relation R defined in the set A of all polygons as R = {(P1, P2) :P1 and P2 have same…

A: Given, relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number…

Q: City X Airport (ft) y Augusta 235 Albany 285 Springfield 235 San Francisco 11 "art 1 of 4 The set of…

Q: Show that the relation R defined in the set A of all triangles as R = {(T1, T2) :T1is similar to…

A: Given,relation R defined in the set A of all triangles as R = {(T1, T2) :T1 is similar to T2}.

Q: I have almost half of the answers but are what I really need help with is b, c, and d. Thank you…

A: Given, A=3, 4, 6, 7and define relation R on A as follow; For every x, y∈A, xRy⇔3|(x-y)

Q: The arrow diagram below represents a relation. 1 2 3 Figure 1: An arrow diagram shous three…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

Q: Please solve this problem. Thank you!

A: Note:R is a relation from A to B iff R ⊆ A×B.If R is the relation on a set A then R ⊆ A×A.And if (x,…

Q: 1. Given an arbitrary relation R, suppose we compute two new celations: - R1, the reflexive closure…

A: The solution is given below

Q: Question 5: Check whether the relation R in R defined as R = {[a, b): as b} is reflexive, symmetric…

A: Introduction :--

Q: а) The relation R on A = {3, 5, 7, 9} is defined by the ordered pairs below: R= {(3, 3), (3, 9), (5,…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: d) Let R be a relation on Z and x R y if x - y is even. e) Let R be a relation on N x N where (a, b)…

Q: given two sets X={-1,0,1} and Y={u,v,x,y,z}. There are 3x(3-1)x(3-2)%36 onto mappings from X to Y.…

Q: Question 6 For each of the relations on A ={1, 2, 3} below, {(1, 1), (1, 3), (3, 3)}, R = S = {(1,…

Q: Question 6 For each of the relations on A ={1, 2, 3} below, R= {(1, 1), (1, 3), (3, 3)}, S = {(1,…

Q: Consider the relation on A = {a, b, c, d, e} given by R={(a,b),(b,c), (b,d),(b,e),(d,

Q: Consider the following relationships about A = {1,2, 3} a) R1 = {(1,2), (1, 3), (2, 1), (2, 2)} b)…

Q: Let S = {1,2,3,... 18} and define the relation R by xRy if xly. Draw the Hasse diagram for R.

Q: Define a relation S from R to R as follows:…

Q: QUESTION 9 Let A={1,2,3,4} and the relation R={(1,1), (2,2), (3,4), (4,3), (4,4)}. Select the…

Q: Problem 17. (a) Prove that <r is a reflexive, transitive relation on P(E*). (b) Prove that =r is an…

Q: Please solve this problem with a better explanation. Thank you for the help.

Q: Let A {1,2, 3} and R = {(1,1), (2, 1), (2, 3), (3, 2), (3, 3)}. The number of edges in the…

A: The given set is A={1,2,3} the relation R is R=1,1,2,1,2,3,3,2,3,3 write the adjacency matrix…

Q: In problems 4, 5: show that the relation described is (1) reflexive, (2) symmetric, (3) transitive;…

A: Since you have asked multiple sub-questions, we will solve the first 3 sub-questions for you. If you…

Q: 4- The orthogonal relation is A: symmetric and reflective relation B: symmetric and not reflective…

Q: The relation R on A = {3, 5, 7, 9} is defined by the ordered pairs below: R= {(3, 3), (3, 9), (5,…

A: Reflexive Relation: A relation R on a set A is said to be reflexive if (a,a)∈R for every a∈A.…

Q: Consider the relation R = {(1, 1), (1,3), (2,4), (3, 1), (3,3), (4, 3),(4,5)} on the set A =…

A: Let R be a binary relation on a set A. R is said to be reflexive if for all . R is said to be…

Q: Suppose there are two transitive relations R, S Disprove the claim that the composed relation S R…

Q: Our universe U is Z (integers), and R is the relation defined by R(x,y):=x<y^2 For example, R(3,-2)…

Q: prove that each of the following sets of points is collinear 1. A(4,5), B(3,3), C(1,-1) 2.…

A: As per guidelines, we are supposed to solve only first question. Please repost other questions…

Q: * ?Which of these relations on {0, 1, 2, 3} are equivalence relations a) {(0, 0), (1, 1), (2, 2),…

A: A and C are the equivalence relations

Q: If R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)}, what is the symmetric closure of R? %3D О (1, 2),…

Q: Recall that given f : A → B and subsets X C A respectively Y C B we can define the direct image f(X)…

Q: Find the reflexive, symmetric and transitive closure of R if MR is (1 0 0 1 0 1 1 0 0 1 0 0

Q: III) If T: Mat3.2(F) Mat2.2(F) is a linear map whose null space has dimension 2, what is the…

Q: Let A = {1, 2, 3, 4, 5} Determine whether the relation R whose diagraph is given is relflexive,…

A: A relation R is said to be reflexive on the set A if for every element x in the set A, the ordered…

Q: If R = {(1,2),(2,1),(2,2),(3,4)} is a relation on the set {1,2,3,4}.The reflexive closure of R is :

A: Given that R=1,2,2,1,2,2,3,4 is a relation on a set 1,2,3,4 Consider A=1,2,3,4

Question

Problem 6. Consider the relation R = {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2, 3, 4}.

a) Find the reflexive closure of R.

b) Find the symmetric closure of R.

c) Find the transitive closure of R.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Does the relation is a brother of have a reflexive property consider one male? A symmetric property consider two males? A transitive property consider three males?
In each of the following parts, a relation is defined on the set of all human beings. Determine whether the relation is reflective, symmetric, or transitive. Justify your answers. xRy if and only if x lives within 400 miles of y. xRy if and only if x is the father of y. xRy if and only if x is a first cousin of y. xRy if and only if x and y were born in the same year. xRy if and only if x and y have the same mother. xRy if and only if x and y have the same hair colour.
Consider the relation R = {(1, 2), (2, 1), (2, 3), (3, 4), (4, 1)} on {1, 2, 3, 4}. Find the reflexive closure of R, Find the symmetric closure of R, Find the transitive closure of R.
Problem 4Let A be a set, and let R be a relation on A.1. Suppose R is reflexive. Prove that ∪x∈A[x] = A.2. Suppose R is symmetric. Prove that x ∈[y] if and only if y ∈[x], for all x, y ∈A.3. Suppose R is transitive. Prove that if xRy, then [y] ⊆[x] for all x, y ∈A.
prove that each of the following sets of points is collinear 2. L(-5,13), M(-10,10), N(-20,4)
prove why each relation has or does not have theproperties: reflexive, symmetric, anti-symmetric, transitive. 2) Set S = { 0,1,2,3 } , relation R: S x S is defined as: (m,n) ∈ R if m + n = 4;
I have almost half of the answers but are what I really need help with is b, c, and d. Thank you Discrete Math Let A = {3, 4, 6, 7} and define relation R on A as follows; For every x, y E A, xRy <-> 3|(x-y) To answer the followoing; a) Draw the directed graph of R b) Is R relflexive? Why? c) Is R symmetric? Why? d) Is R Transistive? Why?
Our universe U is Z (integers), and R is the relation defined by R(x,y):=x<y^2 For example, R(3,-2) and R(1,1) are T, while R(5,-2) and R(3,1) are both F. R is relexive, symmetric, transitive? give counterexample
Consider the relation ? = {(1,1), (1,3), (2,2), (3,1), (4,4)} on the set {1,2,3,4}.Find the reflexive closure of ?. Find the symmetric closure of ?. Find the transitive closure of R
Problem 2Let A be a set, and let R be a relation on A. Suppose that R is symmetric and transitive.Find the flaw in the following alleged proof that this relation is necessarily reflexive. “Letx ∈A. Choose y ∈A such that xRy. By symmetry know that yRx, and then by transitivitywe see that xRx. Hence R is reflexive.”