The binary relation {(1,1), (2,1), (2,2), (2,3), (3,1), (3,2)} on the set {1, 2, 3} is O reflexive, symmetric, and transitive transitive O antisymmetric anstisymmetric and transitive

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: Theorem: If R is a fuzzy relation on the set X, then (R-1)-1 = R

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Q: Let R be a relation on the set A = {0, 1, 4, 8} defined by xRy if and only if x + y < 8. (i) List…

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Q: For each of these relations on the set {1,2,3,4}, decide whether it is reflexive, symmetric,…

A: The Reflexive Property states that for every real number x,x=x x , x=x . Symmetric Property. The…

Q: Identify the relation on set (1,2,3,4} if it is reflexive, symmetric, antisymmetric or transitive.…

A: We know that , relation is relationship between sets of values. A binary relation R defined on set A…

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

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

Q: Consider two fuzzy relations [! 0.1 0.3] R=0.8 0.6 0.9 and S=0.2 0.4 0.9 0 03 0.2 0.5 0.7 0,2 0.7…

A: Let R1 and R2 be two fuzzy relations. The max-min composition of R1 and R2 is defined as follows.…

Q: Let set A = {1,2,3,4} and let R1 and R2 be binary relations on A. Specifically, let: R1…

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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, 5} R={ (1,1), (1,2), (2,1), (2,2), (3,3), (3,4), (4,3), (4,4), (5,5) } Write the…

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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: Which of the following relations on the set {1,2.3,4} are reflexive, symmetric and transitive? R1 =…

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

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Q: The relation - on the set A = Z x (N - {0}) by (u, v) - (z, w) if and only if wu = zv. Specify the…

A: We will use the relation wu=zv between two elements (u,v) and (z,w) .

Q: 4. a. Draw a Digraph represented by the adjacency matrix 1 1 b. Consider the recurrent relation 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 R be a relation on the set A = {1,2,3,4} defined by R = {(1,1), (1,2), (1,3), (1,4), (2,2),…

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Q: Let A = {1, 2, 3, 4, 5, 6} and R = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (2, 3), (3, 2)}.…

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

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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: Let RR be a binary relation on A={a,b,c}A={a,b,c} given by…

A: We check relationship is reflexive or not

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

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

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

A: A relation R is said to be symmetric if a,b∈R implies b,a∈R. It is given that A = {1, 2, 3, 4, 5, 6,…

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: 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 A={0,1,2}. let R = { (0,0),(1,1),(2,2),(0,1),(1,0)}. Is R an equivalnce relation on A?if it is…

A: Given: A=0,1,2 The relation R on set A is defined by R=0,0,1,1,2,2,0,1,1,0 To determine: Whether R…

Q: Which of these relations on {0,1,2,3} are equivalence relations or a partial order? Determine the…

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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: Obtain the 16 relations of the set {0,1}, indicate which of these are reflexive, symmetric and / or…

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Q: Let R be a relation on A = {5, 6, 8, 9} and R {(8,8), (5,5), (6, 8), (5, 9), (9, 9), (9,5), (6, 6)}.…

A: Given that  R=(8, 8), (5, 5), (6, 8), (5, 9), (9, 9), (9, 5), (6, 6)

Q: 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…

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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: 4. Let R be a relation on the set {1,2, 3, 4} such that R = {(1, 1), (1, 3), (2, 2), (2, 3), (3,2),…

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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: 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: Let R be a relation on A = {1, 2, 6, 7} and R = {(6,6), (2,2), (7, 1), (1, 1), (7,7), (1,7)}. Are…

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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: 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: For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is…

A: This is a problem of relation which is under discreet math

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: Give a binary relation R on an n-element set such that R != ∅ and |R ◦ R^(−1) | = n^(2) · |R^(−1) ◦…

A: Given:  R != ∅ and |R ◦ R^(−1) | = n^(2) · |R^(−1) ◦ R|

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

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Q: Let R be a relation on A = {0, 3, 5, 8} and R = {(0,0), (5, 5), (3, 3), (5, 0), (8, 8), (8, 3), (0,…

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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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