9.12. Let S = {a, b, c}. Then R = {(a, a), (a, b) , (a, c)} is a relation on S. Which of the properties reflexive, symmetric and transitive does the relation R possess? Justify your answers

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Q: () -- () --()-() --- Let vi = 2 v2 = 4. 5, v3 = 6 v4 = 6. 7 If is a depen- 1 dence relation on (v1,…

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Q: 1. For the following, each relation R is defined on the set A. Determine if R is a tree, if it is,…

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Q: 9.1. For the sets A = {a,b, c} and B= {r, s,t,w}, let R = {(a, s), (a, t) , (b,t)} be a relation…

A: Given A= {a,b,c} B={ r,s,t,u} R= { (a,s) , (a,t) , (b,t)}. We are asked to find the Domain and…

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A: A=2,4 and B=2,4,6a,b element A×B, a,b∈R means that a+b is an integer

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Q: 12. Let P = {2,3,4,5} and define a relation R from P to P as follows: For all (x, y) E P X P, (x, y)…

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Q: а) The relation R on A = {3, 5, 7, 9} is defined by the ordered pairs below: R= {(3, 3), (3, 9), (5,…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Consider the relation R = {(a, a), (c, a), (b, c), (d, b)} then which of the following set…

A: We need to find R3 given R=a,a,c,a,b,c,d,b Now,  R2=RοRR3=RοR2=R2οR The composition of two…

Q: 2. Draw a Hasse diagram for the POSET(S,R) where S = {1,2,6,8,12,18,48,72,108,144,216,432} and R be…

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Q: 1. Consider the relation R1: R - R such that (r1, y1)R1 (X2, y2) if and only if both points are on…

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Q: = {4, 5, 6} and B = {6, 7, 8}, and let S be the "divides" relation from A to B. That is, for every…

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Q: If R, T, G,H are relation on A and RET,GCH then, 1. RoG CTOH 2. Тон с RoG 3. RoT S Goн 4. RoH E ToG…

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Q: 1), consider the relation of R= {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2),(3, 3)…

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Q: 11. Let C= (0, 1, 2) and D= (2,4, 6, 8) and define a relation R from A to B as follows: For all (x,…

A: We have to determine the above terms for the given relation.

Q: 1. Let A = (2, 3, 4} and B = {6, 8, 10) and define a relation R from A to B as follows: For all (x,…

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Q: 9.13. Let S = {a, b, c}. Then R= {(a,b)} is a relation on S. Which of the properties reflexive,…

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Q: 10 Let A={4,5,6,7,8,9,10,11,12,13} and define a relation S on A as follows xS y → 4|(x-y) (a) Is…

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Q: e) Suppose that S is an equivalence relation on a set A = {1,2,3, 4, 5, 6, 7}. If 4 e [3] n [5],…

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Q: d. The business major has attended FSU for 4. Let C = (0, 1, 2} and D = (2,4,6, 8) and define a…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: a Are ALL the following three pairs in the relation R: (4.2) (1,2) (5,1) b Is 4 a minimum element?…

A: R=4,21,2,5,1a. (1,2) is not the element of R because from Hass diagram 2 is related to 1    here…

Q: et A={1,2} and B={1,2,3} and define a relation R from A to B as follows: •Given any (x,y) element A…

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Q: 1. Give the domain and range of the relation. 13 0. 0. -3 -5 a. D: {2, 6, –3, 5, 13, –5}; R: {0} b.…

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Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: (b) Suppose that the experiment A has M mutually exclusive possible out- comes Am, and the…

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Q: 1. Let A (2,3,4) and B= (6,8,10) and define a relation R from A to B as follows: For all %3D (x, y)e…

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Q: 1. Which of the following is the domain of a given relation? A= {(1,2),(1,3),…

A: Relation and set

Q: 3. Suppose that we have the following four tuples in a relation S with three attributes ABC:…

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Q: The relation R on A = {3, 5, 7, 9} is defined by the ordered pairs below: R= {(3, 3), (3, 9), (5,…

A: Reflexive Relation: A relation R on a set A is said to be reflexive if  (a,a)∈R   for every a∈A.…

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: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6 e (yes or no) whether R has…

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Q: 1. Let A = {a, b, c} and B = {r,s, t, u}. Furthermore, let R = {(a, s), (a, t)}, (b, t) be a…

A: Suppose A and B are non empty sets. Define a relation R:A->B then, Domain of R={x: (x,y) belongs…

Q: Given A = {1,2, 3, 4} and B = {x,y , z}. Let R be the following relation from A to B: R =…

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Q: Let C = {1, 3, d, e}. Let R = {(1, 1), (1, 3), (1, e), (3, 3), (3, d), (e, 3) be a relation on C.…

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Q: 11. Let C= {0, 1, 2} and D= [2, 4, 6, 8) a relation R from A to B as follows: For all (x, y) E AXB,…

A: Given  :-  Let C =  0 , 1 , 2  and D =  2 , 4 , 6 , 8  and define a relation R from A to B as…

Q: Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B.…

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