1. Suppose R = {(1,1), (1, 4), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 1), (4,2), (4, 4)} be a relation from A = {1, 2, 3, 4} to itself. You must show that the property holds or give a counterexample a) Is R reflexive, irreflexive, or neither? c) Is R transitive? b) Is R symmetric, antisymmetric, or neither? d) Draw a graph of R.

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

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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: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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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: 1. Suppose that a manufacturer determines that there is a linear relation between P, the profit…

A: To identify the independent and dependent variables in the given problem

Q: 2.  LetA={0,1,2,3,4}.  Write out the relation R that expresses ≥ on A.

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Q: 1. Suppose that we have the binary relations R1 C A× B, R2 C Bx C, and R3 C C x D. Then the…

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

A: Domain is the values of x and range is the values of y in ordered pairs ( x , y )

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

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: Let A={1,2,3,4} and let R, S, T, and U be the following relations: R={(1,1),(1,2),(1,3),(1,4)}…

A: Given :  A={1,2,3,4} and let R, S, T, and U be the following relations: R={(1,1),(1,2),(1,3),(1,4)}…

Q: City X Airport (ft) y Augusta 235 Albany 285 Springfield 235 San Francisco 11 "art 1 of 4 The set of…

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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: What is the domain of the relation x(x-3) ? {(X,y): y = (x+4)(x-7)). ) {x: x = R, x -4, x > 7} ) {x:…

A: Domain of function f(x) is the set of value of x for which f(x) is defined.

Q: Let

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Q: 1. Express the following relations as a table and digraph. а. {(1,2), (1,3), (1,4), (2,1), (3,3),…

A: Relations as a table and digraph According to our guidelines,we can answer only first question.…

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: 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: 4.4.5 Write out the following relations as subsets of the Cartesian pod (a) The relation on N…

A: (a) The relation given is already a subset of the Cartesian product N x N. It can be written as…

Q: 14. What are the domain and range of the relation shown? 5 4 -3 -2 -1 - 3 -2 -3 + Domain = {x € R |-…

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Q: d) Let R be a relation on Z and x R y if x - y is even. e) Let R be a relation on N x N where (a, b)…

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

A: Here for second  R2 = {(1,1) , (1,2) , (3,1) , (4,3)} For transitive the condition must satisfy…

Q: Question 6 For each of the relations on A ={1, 2, 3} below, {(1, 1), (1, 3), (3, 3)}, R = S = {(1,…

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Q: 7. Consider the following relations on the set A = {- -3, –5 – | R = {(-3, –3), (–3, –5), (-3, –7),…

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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: Question 6 For each of the relations on A ={1, 2, 3} below, R= {(1, 1), (1, 3), (3, 3)}, S = {(1,…

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Q: Let's generalize the situation in problem #1. Consider the relation < on the set [n] : {1,2,...,n}.…

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Q: Let X = {a, b, c, d, e,f} and S be the relation on X defined by S = || {(а, а), (а, b), (а, с), (а,…

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Q: 10. What is the domain of the relation shown below? {(4, 2),(1, 1).(0, 0),.(1, –1),(4, –2)} (3) {-2,…

A: Given relation is : 4,2,1,1,0,0,1,-1,4,-2 To find the domain of the given relation.

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: 1. Suppose that we have the binary relations R1 C A× B, R2 C Bx C, and R3 C C x D. Then the…

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Q: Draw the Hasse diagram for the relation C on the set P({1,2,3}).

A: According to the given information, it is required to draw the hasse diagram for the given relation.

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: 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: 1. Identify the domain of the relation: 其-5 |-2| 1 10 11 4 10 а. -5, 10 b. 10, 11, 4, 10 C. -5, -2,…

A: We have to find the domain of function

Q: 1. Consider the relation < on the set {1,2, 3, 4}. Write down this relation as a set of ordered…

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

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Q: The domain is {A, B, C, D, E, F, G, H}. The relation is the set: {(C, B), (D, C), (C, F), (G, H),…

A: Given domain is A, B, C, D, E, F, G, H   The relation is the set C, B, D, C, C, F, G, H, F, B, A, B,…

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: 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: 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: 2. Let X = {a,b, c, d, e, ƒ} and S be the relation on X defined by S = {(a, a), (a, b), (a, c), (a,…

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Q: (1) Let A-(a,b,c,d), define a relation R on set A as follows: R-((a,a). (a,b), (b,a), (b,b), (c,c),…

A: Reflexive relation:  A relation R on set X is said to be reflexive if for all elements x∈X we have…

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) }…

Q: If R = {(1,2),(2,1),(2,2),(3,4)} is a relation on the set {1,2,3,4}.The reflexive closure of R is :

A: Given that R=1,2,2,1,2,2,3,4 is a relation on a set 1,2,3,4  Consider A=1,2,3,4

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.