Module 4 Discussion X Module 4 Discussion X What is Antireflexive (or irreflexive)? Consider the relation S on set (a, b, c} given by S = {(a, a),(a, b), (b, a), (b, b), (c, c), (b, c), (c, b)} Prove S is reflexive. Prove S is symmetric. Show S is not an equivalence relation. Module 4 Discuss

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…

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Q: Select one or more: transitive symmetric

A: Given, and Where be a relation on

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: 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: (a) Ri (b) R2= {(1,2), (1,3),(1,4),(2,2),(3,3),(5,3),(5,4),(5,2)} /hich of them is an equivalence…

A: Any relation is equivalence relation if satisfy the following conditions where is set of elements a)…

Q: Given that T is a relation on the set {1, 2, 3, 4}, and the set of ordered pairs is: T = {(1, 1),…

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Q: Consider the relation R on the set {a,b,c,d,e,f} which is defined as follows: R={(a,a), (a,b),…

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Q: Let R = { ( a, b ), ( a, d ), ( b, d ), ( c, a ), ( c, c ), ( d, b ), ( d, c ) } be a relation on…

A: Given: R=a,b,a,d,b,d,c,a,c,c,d,b,d,c   The relation R2 contains all ordered pairs (x, z) if (x, y)…

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

A: The set A×A={(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)} R={(1,1), (3,1), (2,1),…

Q: Which of the following relations is the Symmetric relation over the set A= {3,5,13}…

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Q: Select the correct statement(s) for the relation R, defined on the set A = { a, b, c, d, e } by R=…

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Q: 4. Let A = (1,2,3} and B= {1,2,3,4). The relations R, = {(1,1),(2,1),(3,2)} and…

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: set {(a,b),(a, a), (c, a), (b, b)} (a). Let X = {a,b,c} be sets. is a relation on X and find its…

A: Answer and explanation is given below..

Q: Let R be the relation defined on P({1,..., 100}) by ARB if and only if An B is even. Is R reflexive?…

A: Given: R is the relation defined on P1,....,100 by A R B.           A∩B is even.We need to check…

Q: For non empty binary relation R={(a, a).(a, b).(a, e).(b, b).(b, e).(c, C).(c, d).(d, d).(e, e)} on…

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Q: Consider the following relation on {1,2,3,4}. Check is equivalence or not? R= {(1, 1), (1, 2), (2,…

A: Follow next step

Q: 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…

A: Here given that the set is A = {a, b, c, d} and the relation on A is given by R = {(a, c), (b, b),…

Q: Let Let R be a relation from A to B defined by Then Select one: O a. O b. O d. A = {0, 1, 2, 3, 4}…

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Q: Relations Given the sets over the domain {a, b, c, d}: A = { (a, a), (b, b), (d, d), (b, a) } B = {…

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Q: Let A = {12, 13, 15, 16} and B ={13, 15, 17}, and let the relation R from A to B be defined by…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4), (4,2)} Draw the diagraph of R

A: # As per the guidelines we are entitled to solve three subparts at a time ,please resubmit the other…

Q: Exercise: Let R be a relation on people such that (a,b) is" a is a parent of b Let S be a relation…

A: Let R be a relation on people such that (a,b) is "a is a parent of b".Let S be a relation on people…

Q: why is R1 not symmetric but R3 symmetric? the definition of a symmetric relation R on a set A says…

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Q: Let R be the relation on a set A = {a, b, c, d} defined by R= {(a, a), (a, b), (b, b), (b, c), (c,…

A: If R is a relation on a set A, then R^2 is the set of ordered pairs (a, c) such that there exists an…

Q: True/False: The relation R = {(a, a), (a, b), (b, a), (b, b), (c, c), (a, c), (b, c), (c, b), (d,…

A: The given set is                         S = { a , b , c , d }  and the given relation is…

Q: Let S be the set {a,b.c} and the relation R on S is…

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Q: 3. Let S = R × R and R be the relation on S defined by (a, b)R(c, d) iff a+c=b+d. Determine whether…

A: Reflexive: (x,y) R (x,y) As x+y=x+y Symmetric : if (a,b)R(c,d) then a+b=c+d. Since c+d=a+b then…

Q: Given the relation R on the set of all integers defined by the rule (x, y) ER if and only if x 2 y².…

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Q: Let R be the relation on a set A = {a, b, c, d} defined by R = {(a, a), (a, b), (b, b), (b, c), (c,…

A: The given relation  on a set  is defined as follows..We need to find .

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

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