1. Express the following relations as a table and digraph. а. {(1,2), (1,3), (1,4), (2,1), (3,3), (4,2), (4,3)} b. {(1,1), (1,2), (2,2), (2,1), (3,3), (4,4), (4,3)}

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: Four relations are shown below. -4 1 4. 6. 1. III {(1,2), (2,5), (3,8), (2. –5), (1,–2)} y =x² II IV

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Q: Bob is Phil’s father. Jack is Phil’s only brother.  Tina is Phil’s sister-in-law.  Phil is not…

A: In this case, it can be observed that John is Jack’s son and Jack is Phil’s brother and Tina is…

Q: Select the set that corresponds to the relation given in the arrow diagram below: A 1 C . 3. O {{A,…

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Q: Which of the following is the inverse relation to the set of ordered pairs {(–10, 5), (–7, 9), (0,…

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Q: C. If U={1,2,3,4,5,6,7,8,9,10 }, x - { 1,2,3,6,7 }, Y= { 1,3,6,8 ), and Z = { 5, 8, 9 }. Find each…

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Q: Consider the following relations on {1, 2, 3, 4}. R1 = {(2,2), (2,3),(2,4),(3,2),(3,3),(3,4)} R2 =…

A: “Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Consider the following relations on {1, 2, 3, 4}. R1 = {(2,2), (2,3),(2,4),(3,2),(3,3),(3,4)} R2 =…

A: This is a problem of relation.

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

Q: Suppose the following relations are defined on the set of A = {-2, -1,0 1, 2, }, . List the pairs in…

A: For relation R on a set A.   R is reflexive if (a,a)∈ R, for every a∈ A.   R is symmetric if (a,b)∈…

Q: If A = {2, 3, 4, 5}, B = {1, 2, 3} then the relation R = { (a, b)|asb} is given by: {(2, 3), (2, 2),…

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Q: Which of the following relations contain cach of the following pairs (1, 1), (1, 2), (3, 2), and…

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Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

A: We have to find that relation

Q: 5. when: Let be a relation where R = {(a, b): pair a,b are cross streets in city A}. Sh (a) (a, b) e…

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Q: Which of the following relations contain each of the following pairs (1, 1), (1, 2), (3, 2), and…

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Q: а. {(0,0), (1,1), (2,2), (3,3)} b. {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)} с. {(0,0),…

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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: Q1: Find the first 5 terms of the recurrent relation below. A, = 2A,-1 + 3An-2 where n 2 1, and A, 1…

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Q: The arrow diagram below represents a relation. 1 2 3 Figure 1: An arrow diagram shous three…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: Consider the relations given below: xRy:x loves y xRy:x2y iii. xRy:x is in the same classroom with y…

A: If x = y and y = x then we can say that relation is symmetric relation.

Q: Which of the following sets of ordered pairs represents a relation that is not a funetion? (1, 1),…

A: We know that set of order pairs like (x,y) forms a relation. Now, when a relation contains a special…

Q: Consider the recurrent relation An = 2 An-1 - 3 and Ao = 2, n 1 %3D Then A2 equals O a. 1 b. 10 Oc.5…

A: Recurrence Relation:  A Recurrence Relation is an equation that defines a sequence based on a rule…

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: The order of the reccurrence relation C+2 =-42 Ck22 is k-1 %3D k+2 ОА. 4 ОВ. 2 O C. 1 None of them O…

A: Order of the difference equation is the difference between the highest and lower subscript of…

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: Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5.-2).…

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Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: For all…

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Q: 1. List the domain and range for the relation. {(11, –5), (–10, 15), (3, 5), (7,–5)} O Range: {-5,…

A: according to Bartleby guidelines I am expected to solve only the first question. Kindly repost the…

Q: Find the inverse of the relation. {(5, -8), (14, 9), (7, -1)} O {(5, 9), (5, 14), (-1, 7)} O {(5,…

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Q: Consider the following relations R1, R2, R3, R4 on the set [4] = {1,2, 3, 4}. Each of the relations…

A: Here we use definition of function and relation

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: Give an example of a relation which is a) One-one and onto b) Many - one and onto c) One-one and…

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Q: What is the domain of the relation (8, 2), (6, 4), (4, 2), (2, 4)? O 2,4 O 2, 4, 6, 8 O 6, 8 O 2, 4,…

A: Concept: Domain is the set of all first elements of ordered pairs (x-coordinates).

Q: Determine the domain and range of each of the following relations. Use listing method for items 1…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Which is a table of ordered pairs defined by X+2 Ax) -13 -24 14 46 -14 6. -4 Ax) 7. 0. 路 14 -2 -14…

A: Given :                y = -2/7 x + 2 Put x = 7   ,   y = 0 Put x = 14   ,   y = -2 Put x = -14…

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:…

A: Given: Let us consider the four tuples, ABC:1,2,3,4,2,3,5,3,3,5,3,4. Let's determine the…

Q: In N × N clause β for (a,b), (c,d) ∈ N × N defined as: (a,b)β(c,d) = ad = bc Examine the properties…

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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: 2. State the domain and range of each relation. a) {(0, 5), (1, 6), (2, 7), (3, 8)} {(1, 4), (2, 3),…

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Q: One of the followin relations is not symmetric,where A={1,2,3,4}: .a…

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Q: 11. List the domain and rage for the relation. 4 -6 13 O Range: { 4, 2, 6, 7} O Domain: { 4,2,6, 7}…

A: Please refer the attached image for complete Solution.

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

A: Step:-1 Given that A=1, 2, 3, 4  and B=x, y, z And R= 1, y, 1, z, 3, y, 4, x, 4, z

Q: Let A = {3, 4, 5} and B = {5, 6, 7}, and let S be the "divides" relation from A to B. That is, for…

A: Given A=3,4,5 and B=5,6,7. And let S be the "divides" relation from A to B that is for every ordered…

Q: Suppose that R is a relation. Show that R C dom(R)×ran таn(R).

A: Given R is a relation. Let R be relation on a set A. Now define domain and range of relation R as…

Q: 14. The number of ordered pairs in the relation R from = {0,1,2,3,4} to B = {0,1,2,3} where (a, b) E…

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Q: 9.16. Let A = {a, b, c, d}. How many relations defined on A are reflexive, symmetric and transitive…

A: given A=a,b,c,d claim- how many realations defined on A are reflexive , symmetric and transitive and…

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.…

A: The given set is C = {1,3,d,e} and the given relation is R={ (1,1),(1,3),(1,e),(3,3),(3,d),(e,3) }…