Question

Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4,4),
(1, 3), (3, 3), (3, 2)}. Choose the correct answer.
(A) R is reflexive and symmetric but not transitive.
(B) R is reflexive and transitive but not symmetric.
(C) R is symmetric and transitive but not reflexive.
(D) R is an equivalence relation.

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
Not helpful? See similar books
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Line And Angle Relationships. 17E
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: Let A = {1, 2, 3, 4}. Let R be the relation on A defined as follows:          R = {(1, 1), (1, 2),…

A: Click to see the answer

Q: Let the relation R be {(1,2), (2,9), (5,6)}. Is R transitive? Give the reason.

A: Given : 1,2, 2,9, 5,6

Q: Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (1, 2), (2, 3), (1, 3),(3, 3)}.…

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct option  Explanation…

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

A: Given set = {0,1,2,3} As equivalence relation is reflexive, symmetric and transitive

Q: Let A = (1, 2, 3, 4, 6). Let Ri be a relation defined on A. a. Verify reflexive property on the…

A: "Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

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: The relation R on set A = {0, 1, 2, 3, 4, 5} is given by R = {(0, 0), (0, 1), (0, 5)(1,0),(1, 1),…

A: Click to see the answer

Q: Let A = {1, 2, 3, 4}. Give an example of a relation on A that is: %3D (a) reflexive and symmetric…

A: Click to see the answer

Q: B. Let A = {1, 2, 3, 4}. Let R be the relation on A defined as follows: R = {(1, 1), (1, 2), (1, 3),…

A: Click to see the answer

Q: If R is reflexive, symmetric and transitive then the relation is said to be--------

A: Any relation R on a set S is equivalent if and only if it follows the below conditions: (a) R is…

Q: Let R be the relation R = {(1, 2), (1, 3), (2, 3),(2, 4),(3, 1)} and S be the relation S= (2, 1),…

A: We know, if f: A→B and g: B→C be two relations then their composition gof: A→C is deined as gofx=gfx…

Q: Let A = {1, 2, 3, 4, 6}. Let Ri be a relation defined on A.  a. Verify reflexive property on the…

A: Click to see the answer

Q: 2) Let Q = {0,1,2,3} and define relation R on Q as follows: R = {(0,0), (0,1), (0,3), (1,0), (1,1),…

A: Click to see the answer

Q: Let A = {1, 2, 3, 4, 6). Let Ri be a relation defined on A. a. Verify reflexive property on the…

A: Click to see the answer

Q: Let A = {1, 2, 3} and consider the relation R = {(1, 3), (2, 3), (1, 1), (2, 2)}. Then R is neither…

A: Click to see the answer

Q: Write A here: A =. Let R be the relation on {0, 1, 2,3, 4, 5, 6, 7,8, 9} given by: (0,0), (0, 1),…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: 4. Let R and S be relations defined on the set A. If both R and S are symmetric relations, are: a) R…

A: Click to see the answer

Q: a. Verify reflexive property on the relation R;= {(1, 1), (1, 2), (2, 2), (3, 3), (3, 4), (4, 4),…

A: Click to see the answer

Q: 6. Find the transitive closure and the reflexive transitive closure of the relations R below defined…

A: Click to see the answer

Q: B. Let A = (a, b. c. d). Let R be the relation on A defined as follows: R= {(a, a), (a, b), (a, c),…

A: Click to see the answer

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

A: Click to see the answer

Q: . Draw the Hasse diagram of the relation R on A, where A = (1, 2, 3, 4}, and R = {(1, 1), (1, 2),…

A: Click to see the answer

Q: Find the transitive closure of the relation R={(1,2),(2,2), (2,3),(3,3)} on the set A=(1,2,3}.…

A: Click to see the answer

Q: Let R be the relation R= {(1, 2),(1, 3), (2, 3).(2, 4),(3, 1)} and S be the relation S= {(2, 1),…

A: Consider the given information: Let R={(1,2),(1,3),(2,3),(2,4),(3,1)} S= {(2,1),(3,1),(3,2),(4,2)}…

Q: Give an example of a relation on the set {a, b, c, d} which is symmetric and transitive, but not…

A: Any relation R from a set Ato A is reflexive if and only if for every x∈A , the pair (x,x)∈R Any…

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

A: Click to see the answer

Q: Compute the complement of relation R. R={(1, 1), (5, 1), (5, 5), (6, 1), (6, 6), (7, 1), (7, 7)}

A: Click to see the answer

Q: ' (a,b) ∼ (c,d) ⇔ a+d =b+c '' defined as '∼' relation is that a equivalence relation?

A: It is equivalence relation if (a, b) belongs to ZxZ

Q: Let A = {1, 2, 3, 4} and R be a relation defined on A. Given that R= {(1, 1), (1, 3), (2, 2), (2,…

A: Click to see the answer

Q: The domain for the relation A is the set {2, 5, 7, 8, 11}. For x, y in the domain, xAy if |x-y| is…

A: Click to see the answer

Q: {0, 1, 2, 3, 4, ...} and define the relation - on A by: x~y if x – y is divisible by 3 Determine…

A: Click to see the answer

Q: Check whether the following relations are reflexive, symmetric, transitive and anti-symmetric and…

A: Click to see the answer

Q: Q3. Let R be a relation on the set A= {1,2,3}, defined as follows: R = {(1,1), (1,2), (1, 3), (2,…

A: The given relationship is compared with standerd form we get option A is currect. I explain in…

Q: Q3. Let R be a relation on the set A = {1,2,3}, defined as follows: R = {(1,1), (1,2), (1,3), (2,…

A: We have to choose the correct option on the given relation.

Q: Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let R1be a relation in X given by                  R1= {(x, y)…

A: Obtain the set R1 as follows.

Q: Let R = { (1,1), (3,1), (2,1),(2,2), (1,3) } be a relation on the set A = {1,2,3}. (a) Determine…

A: Explanation of the answer is as follows

Q: Suppose you have the following relation: R:A-A where A (a, b, c, d, e) R= ( (a, b), (a, e), (b, e))…

A: Given  A = {a,b,c,d,e}R = {(a,b),(a,e),(b,e)}   A relation R is reflexive if for every x∈A , (x,x)∈A…

Q: Describe the equivalence classes of the relation R = {(a, b) : a € Z, b E Z, 13 divides (a – b)}

A: a equivalence class is a subset of the set on which the relation R is defined such that all elements…

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: 9.18. Let A = {1,2, 3, 4}. Give an example of a relation on A that is: a. reflexive and symmetric…

A: Click to see the answer

Q: Let R be the relation on the set of ordered pairs of positive integers such that ((a,b), (c,d)) e R…

A: Click to see the answer

Knowledge Booster
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elements Of Modern Algebra
    Algebra
    ISBN:9781285463230
    Author:Gilbert, Linda, Jimmie
    Publisher:Cengage Learning,
    Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell
  • Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elements Of Modern Algebra
    Algebra
    ISBN:9781285463230
    Author:Gilbert, Linda, Jimmie
    Publisher:Cengage Learning,
    Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell