The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is: O Reflexive and antisymmetric O Reflexive, symmetric and transitive O Reflexive, antisymmetric and transitive O None of all above answers O Not reflexive but transitive

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

A: Given set is A={1,2,3}

Q: Let A = {0,1,2,3} and R be the relation on A given by R =…

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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…

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Q: Consider the relation R = {(0,0), (1,1). (2,0), (2.2). (2,3). (3,2). (3,3)} on the set 5 =- {0, 1,…

A: Concept Used:- A relation R is a Partial Order if R is reflexive, anti symmetric, transitive.…

Q: If R ={ (1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} is a relation on {1, 2, 3, 4}. Find the reflexive…

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Q: Questio The relation R = {(1, 1), (1, 2), (3, 2), (2, 4)} on the set A = {1, 2, 3, 4} is an…

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Q: Let A = {2, 4, 6, 12, 16, 18, 24, 32} and R be the relation on A where x R y if and only if x | y.…

A: A= 2,4,6,12,16,18,24,32 R is define as xRy if x/y  so, R = (2,2) (2,4), (2,6) (2,12) , (2,16) (2,18)…

Q: let R be a binary relation on the set of all positive integers given by (x,y)  ∈ R if  and only if…

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Q: Represent the relation R on (refer to image)

A: According to the given information, Relation R is defined as:

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

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Q: 2. Let R be the relation on the set A = (1, 2, 3, 4, 5, 6, 7} defined by the rule (a,b) e R if the…

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Q: Let R be the relation on a set {1,2,3,4,5} containing ordered pairs (1,1),…

A: Given set is A = {1, 2, 3, 4, 5} and relation is R = {(1, 1), (1, 2), (2, 2), (2, 5), (3, 1), (3,…

Q: Let B= {0,1,2,3,4} and let 0} , 1,3,4|,|2} be a partition of B that induces a relation Q. Find the…

A: Consider the given information.

Q: Let A be the set A-(1, 2, 3} The binary relation R={(1,2), (2,1), (1,3), (3,1), (1,1), (3,3) }…

A: Given: A = 1, 2, 3 and R = (1, 2), (2, 1), (1, 3), (3, 1), (1, 1), (3, 3).

Q: Let A = {1, 2, 3, 5, 6, 10, 15, 30} and R be a relation on A such that aRb if and only if a is a…

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Q: 5. Let A=Z and R, ={(x,y):x-y is divisible by 5} be a relation on A . That is x R,y if and only if…

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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 =…

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Q: A = {1,2,3} and let R = {(1,1), (2,2), (3,3), (1,2), (2,1),(2,3),(3,2)}, then R is:

A: If A = {1,2,3} and let R = {(1,1), (2,2), (3,3), (1,2), (2,1),(2,3),(3,2)}, then R is:

Q: A = {1, 2, 3} and consider the relation R O neither symmetric, nor transitive O Neither reflexive…

A: We know that, (i) A relation R is said to be reflexive if x R x holds true for all x. (ii) A…

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

A: Check Reflexive, symmetric and transitive relation

Q: Let R be the relation on A × A, where A = {1,2,3,4}, that is, ele- ments of this relation are pairs…

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Q: Let R be a relation on A = {1,2, 5, 8} and R = {(8,5), (2, 1), (5, 5), (5, 8), (2, 2), (8, 1)}. Are…

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Q: a) For the relation R on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is an…

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Q: Determine whether the relation is reflexive, symmetric, antisymmetric and transitive. Provide one…

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Q: Represent the relations on {1, 2, 3, 4} with a matrix and digraphs.  (The rows and columns…

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Q: Let R be the relation on the set {1,2,3,4} containing th (1,2), (1,4), (2,1), (2,2), (2,3), (3,1),…

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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),…

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Q: Let Z = {1,2, 3, ...,50}. a. How many relations on the set Z are both reflexive and antisymmetric?…

A: Here given set Z=1, 2, 3, ....., 50

Q: A// Which of these relations on {0, 1 , 2, 3 } are equivalence relations, why? a) R1= {(0, 0). (1 ,…

A: According to our guidelines we can answer only first question and rest can be reposted.

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: B. By determining whether each relation on the set A = {1,2,3,4} possesses the types of relation in…

A: given set A=1,2,3,4 claim- by determining whether each relation on the set A possesses the types of…

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

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

A: Given A={1,2,3}R={(1,1),(2,2),(1,2),(2,3),(1,3),(3,3)}

Q: 2. Let S = {Canada, France, India, Japan, Norway, Philippines, USA} and II(S) = {{Canada, USA),…

A: 1)  Let S=Canada, France, India, Japan, Norway, Philippines, USA and  ∏S=Canada, USA, France,…

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

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Q: B. By determining whether each relation on the set A = {1,2,3,4} possesses the types of relation in…

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Q: Let R be the relation on a set {1,2,3,4,5} containing ordered pairs (1,1),…

A: A relation R is called reflexive on a set A if (x,x) is in R for all x in A. A relation R' is called…

Q: etermine whether the relation R on the set of all people is reflexive, symmetric, antisymmetric,…

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit…

Q: 1. Let A = {0,1,2,3} and R a relation over A: R = {(0,0).(0,1).(0,3).(1,1),(1,0).(2,3).(3,3)} Check…

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Q: A = {1,2,3,4,6,8,12} a.) Relation on Z Refleksif Symmetric Transitive

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Q: 5) Let R be the relation on the integers where a Rb means a² = b². a) Is this an equivalence…

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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: 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…

A: According to the given information, it is required to check which of the following is true:

Q: 7. Let R be a binary relation R on Z, defined by: Vx, y E N*, x R y+3N€N* such that y = x" (a) Show…

A: (a)The given relation is xRy⇔∃n∈N*  such that y=xn We will verify that R is an ordered relation on…

Q: Let R be a relation on A = {0, 3, 4, 7} and R = {(0, 3), (3, 0), (7, 3), (4, 4), (7, 7), (3, 7), (3,…

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Q: Explain whny the following binary relation on. 1,2,3} Is not R=…

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

A: The relation of set A is R=1,1, 1,2, 2, 1, 2, 2, 3, 3. The set A is A=1, 2, 3.

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

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