Which of the following relations is the a partial ordering on the set A = {3,7,9}? O {(3,3),(7,7),(3,9),(9,7), (9,9)} O {(3,3),(7,7),(7,9),(9,9), (9,7)} O 3,3,7,7,9,9,3,7,7,9,3,9 None of the others O {(3,3),(3,7),(7,9),(7,7), (9,9)}

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

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Q: Prove, or find a counterexample to, the following conjectures: (a) If R and S are partial orderings…

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Q: Which of the following relations is a partial order relation defined on A={1,2,3} O a. R =…

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Q: 2. For each of the following relations on the set {1,3,4, 7}. • R1 = {(7, 7), (1, 1), (4, 4), (3,…

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Q: 4. Consider the relation R = {(-3, –3), (-3, –5), (-5, –7), (–7, –3), (–7, –7)} on the set А 3D {-1,…

A: We have to  (a) To Draw Directed Graph.  (b) To find R2=RoR.

Q: 4. Consider the partial order relation R on A = {2,3,4, 6, 10, 12, 16} where aRb if and only if a…

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Q: c) The Hasse diagram below represents the partial order R on the set X = {1, 2, 3, 4, 5} 4 3 5 2 i)…

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Q: Below is the Hasse diagram for a partial order relation R on the set {a, b, c, d, e}. e d be C Are…

A: Introduction: Hasse diagram is very significant in graphing a relation. In this diagram, the…

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

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

Q: {(a, b) acb, a and b are finite set of integers}

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Q: I need help to see if the answer to this problem is correct.

A: According to the given information, the given set X is:

Q: 8. Which of the following relations is a partial order but not a linear order for A=(1,2,3}: *…

A: PARTIAL ORDER:                                                         ' A relation R is said to be…

Q: 5. Determine whether the following relation is i) an equivalence relation ii) a partial ordering. R=…

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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: Exercise 5.2.1: Here are two relations: R(A, B): {(0,1), (2,3), (0,1), (2,4), (3,4)} S(B,C): {(0,1),…

A: Given: a. Compute πA+B, A2, B2R A B A+B A2 B2 0 1 1 0 1 2 3 5 4 9 0 1 1 0 1 2 4 6 4 16…

Q: Let R, and R2 be relations on a set A = {1, 2, 3, 4}. In particular, let R, = {(1, 1), (1, 2), (2,…

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Q: 7. Let R be the following equivalence relation on the set A = {1,2,3,4,5,6};: R = {(1,1),(1,5),…

A: Equivalence class of R= R  =a=x∈A :aRx 1=1,52=2,3,63=2,3,64=45=1,56=2,3,6

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

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Q: Let R be a relation over a set A = {a,b,c,d}. What kind of order is R?  Note: Select the order that…

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Q: 4. a. Draw a Digraph represented by the adjacency matrix 1 1 b. Consider the recurrent relation A, =…

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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: The following relation on the set {1, 2, 3, 4} that antisymmetric is... 1. OR = {(1, 1), (1, 3), (2,…

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Q: What are the minimal elements of the partial order? What are the maximal elements of the partial…

A: The minimal element is an element which is not greater than any other element Therefor I, A ,F are…

Q: Given the following relation on set X= {1, 2, 3, 4, 5}: R= {(1,1), (1,2), (2,2), (2,3), (2,4),…

A: Consider the set X=1,2,3,4,5 R=1,1, (1,2), (2,3), (2,4), (3,1),(3,2),(3,3),(3,5),(4,4),(5,4),(5,5)

Q: 1. a) Draw the Hasse Diagram representing the partial ordering {(a, b) | a divides b} on {1, 2, 3,…

A: The given set is {1,2,3,4,5,6,10,15,20,30,60} The Relation is given by  R=…

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

A: Let R be the relation on the set 1 , 2 , 3 , 4 , 5 containing the ordered pairs  1 , 1 , 1 , 2 , 1 ,…

Q: 2. A. Consider the following relation on {1, 2, 3, 4, 5} R1 = {(1,1), (1,2)(2,1)(2,2), (3,4), (4,3),…

A: A=1,2,3,4,5A reflexive relation is the one in which every element maps to itself.Therefore reflexive…

Q: Let X = {1, 2, 3, 4}. Let R = {(1, 3), (2, 1), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (a, b) },…

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Q: Construct a Hasse diagram from the partial order R = {(6, 1),(6, 5),(7, 1),(7, 4),(7, 3),(7, 5),(2,…

A: # we are entitled to solve three subparts . Please resubmit the other parts if you wish to get them…

Q: Let S = ((a), b, (a, (b)]), c). Which one of the following relations on S is a strict partial order?…

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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: 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: The figure below shows an arrow diagram for a partial order: 8 What are the maximal elements in the…

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Q: Which of the following is an equevalence relation on the set (a, b, c} 7 O (a, a), (a, b), (b, a).…

A: Option 1 is equivalence relation. Option 2 is also is an equivalence relation. Option 3 and 4 is not…

Q: For each of these relations on the set {1,2,3,4}, draw the graph of the relation: {(1,1), (2,2),…

A: For each of these relations on the set {1,2,3,4}, to draw the graph of the relation.

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: A) List all reflexive relations can be defined on set {a, b}. B) List all ordered pairs in the…

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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: Let R and S be the relations defined as below 2. R = {(1,2), (1,3), (2,3), (2,4), (3,1), (4,1)} S =…

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Q: Which of these relations on {0,1,2,3} are equivalence relations or a partial order? Determine 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: 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: B. Let A = {1, 2, 3, 4}. Let R be the relation on A %3D defined as follows: R = {(1, 1), (1, 2), (1,…

A: Find if the given relation is reflexive, symmetric or antisymmetric.

Q: Determine if each relation R is a partial order on the given set A. If it is a partial order, is it…

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

A: Let B = {1, 2, 3, 4} and S be the relation defined by S = {(1,1), (1,3), (1,4), (2,2), (2,4),(3,3),…

Q: Consider the set A={a,b,c,d,e,f}. Define a partial ordering on A by setting x<=y if (x,y) belongs to…

A: Consider the set A={a,b,c,d,e,f}. Define a partial ordering on A by setting x&lt;=y if (x,y) belongs…

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

A: A and C are the equivalence relations

Q: A) List all reflexive relations can be defined on set {a, b}. B) List all ordered pairs in the…

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

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Q: The Hasse diagram below represents the partial order R on the set X = {1, 2, 3, 4, 5} 3. 5 i) List…

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

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