Answered: Let R be the relation on set {a,b,c,d}…

Let R be the relation on set {a,b,c,d} containing ordered pairs (a,c),(b,b),(b,a)(c,a)(c,d) and (d,a). What is reflexive closure of R?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

See similar textbooks

Related questions

Q: Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

Q: 1. Consider the relation R = {(a, a),(b, b), (c, c), (d, d),(a, b), (b, a)} on set A = {a,b,c,d}. Is…

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

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9} and let R be the relation {(a,b) ! a , b} Find the smallest…

Q: Select all pairs in the reflexive closure of the relation R, defined on the set A = { a, b, c, d }…

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: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: Let R be an equivalence relation on A = {0, 1, 4, 5, 7, 9} and R = {(0, 9), (9, 0), (0, 0), (9, 9),…

Q: A := {0, 3, 5, 6, 8} S := { (0 , 0), (0 , 6), (3 , 3), (5 , 5), (6 , 6) } Discrete Math

A: consider the equation

Q: Let R1 and R2 be the relations on {1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 =…

Q: Consider the relation R = {(a, a), (c, a), (b, c), (d, b)} then which of the following set…

A: We need to find R3 given R=a,a,c,a,b,c,d,b Now, R2=RοRR3=RοR2=R2οR The composition of two…

Q: The relation R= {(1,1),(1,4),(2,3),(2,4),(3,1),(3,4)} on the set {1,2,3,4} is : Select one: O a. not…

Q: Let A = {1,2,3,4} and let R = {(1,1),(1,2),(2,1),(2,2),(3,4),(4,3),(3,3),(4,4)} . Show that R is an…

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: Decide whether the following relations is a partial order or not. (a, b) | a Í b, a and b are…

A: We have to decide whether given relation is partial order or not?

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

A: Given A=1,2,3,4,5,6,7,8 contains the ordered pair 2,3,3,24,7,5,5 and 8,7 Since, for the diagonal…

Q: Let R1, R2, R3 be relations on { a, b, c, d, e }. Find the transitive closures, given their…

A: i) R1 = { (a, c),(b, d),(c, a),(d, b),(e, d) } To find the transitive closure of R1, we need to find…

Q: Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive,…

Q: 2. Let X = {a,b, c, d, e, ƒ} and S be the relation on X defined by S = {(a, a), (a, b), (a, c), (a,…

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),…

Q: Let P={1.2,3,4,12,36} and the relation set R={(1,1)…

A: The objective is to show that (P,R) is a poser. Represent the relation using the diagraph and then…

Q: Let R be an equivalence relation on A = {0, 1, 5, 6, 8, 9} and R = {(6, 1), (1,6), (6,6), (1, 1),…

Question

Let R be the relation on set {a,b,c,d} containing ordered pairs (a,c),(b,b),(b,a)(c,a)(c,d) and (d,a). What is reflexive 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.

SEE SOLUTION Check out a sample Q&A here

Step 1 definition

VIEW

Step 2 conclusion

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide whether or not is an equivalence relation. Justify your decision.
Determine whether the set S={1,x2,2+x2} spans P2.
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 (d,a). What is symmetric closure of R?
Select all pairs in the reflexive closure of the relation R, defined on the set A = { a, b, c, d } by R = { (b, a), (a, c), (a, d)}. □ (a, a) □ (a, b) □ (a, c) □ (a, d) (b, a) □ (b, b) □ (b, c) □ (b, d) □ (c, a) □ (c, b) □ (c, c) □ (c,d) (d, a) (d, b) □ (d, c) □ (d, d)
Let R be the relation on set {a,b,c,d} containing ordered pairs (a,c),(b,b),(b,a)(c,a)(c,d) and (d,a). What is the transitive closure of R?
Let A = {a, b, c, d} and let R = {(a, a), (a, b), (a, c), (a, d), (b, b), (b, c), (b, d), (c, c), (c, d), (d, d)} be arelation on A. Which of the properties reflexive, symmetric and transitive does the relation R possess? If Rdoes not possess one of these properties, explain why. How do I know where to stop? How do I know when I have proven transitivity? for example? I have difficulties with knowing if my prove is complete or not
Consider the relation R = {(1, 1), (1,3), (2,4), (3, 1), (3,3), (4, 3),(4,5)} on the set A = {1,2,3,4,5,6}. Find the Symmetric and reflexive closure.
Let R be the relation on a set {1,2,3,4,5} containing ordered pairs (1,1), (1,2),(2,2),(2,5)(3,1),(3,4)(4,1)(4,3)(5,1),(5,3)(5,5). Find the reflexive closure
Let A = {1, 2, 3, 4, 5} and R be the relation defined by R = {(1,1), (2,2), (2,4), (2,5), (3,3),(4,2), (4,4)}. Justify whether relation R fulfill the property of: i) Reflexive. ii) Symmetric.(iii) Anti-symmetric.(iv) Transitive.
Let R be the relation on the set {1,2,3,4} containing the ordered pairs (1,1), (1,2), (1,4), (2,2), (2,4), (3,1), (3,3), (4, 1) and (4,2). Find R².
Consider a relation R on the set A = {1, 2, 3, 4} defined by R = {(1, 2), (2, 3), (3, 4), (4, 1)}. Determine whether the relation R is reflexive, symmetric, and transitive.
Which relation on the set {a, b, c, d} are equivalence relations and contain (i) (b, c) and (c, d) (ii) (a, b) and (b, d)