Consider the set of all members belonging to the same family and the binary relation defined as " to be an ancestor of " . 1. Is Rrational ? Explain 2. A binary relation is said asymmetric if XRy , then not yox . Is R asymmetric ? Explain

Q: With a binary relation R (defined below) on A and each tuple (a, b) indicating that a is related to…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Let A be the set of all students of a boys school. Show that the relation Rin A given by R = {(a, b)…

A: It is given that, A is the set of all students of a boys school.Show that R is an empty…

Q: Define a binary relation P on Z as follows: For all m, n ∈ Z, mP n ⇔ m|n . (i). Is 5P25? Is 2P27? Is…

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Q: Construct the Hasse diagram for the “divides” relation, | on the set {2, 3, 4, 6, 8, 9, 12, 18}.…

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Q: Given a set define a relation induced by a partition of set A and that partition must consists of at…

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Q: Let N be the set of all natural numbers and let R be a relation in N, defined by R = {(a, b): a is a…

A: Given  Set  = set of all natural numbers N Relation = R = { (a,b) : a is multiple of b }   A…

Q: A playground consists of several structures, some of which are connected by bridges. The ground is…

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Q: 8. Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b,…

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Q: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given MI conditions are met,…

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Q: Consider the following relation on set B = {a, b, {a}, {b}, {a, b}}: P = {(a, b), (b, {a, b}), ({a,…

A: Given that, The set B is: B=a, b, a, b, a, b And, the set P is: P=a, b, b, a, b, a, b, a, b, a, a, a

Q: Determine whether the following relation is an equivalence relation? R= {(a, a), (a, c), (c, a), (b,…

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Q: Describe in words an example of a binary relation on A. Your example should be a single concise…

A: If set A has n elements than number of relation on A is 2n.n.

Q: 4. Let R be the relation in the positive integers

A: 4. Given, R be the relation in the  positive integers ℕ defined by                        R=x, y: x,…

Q: 1. Let the set A = {1,2, 3, 4, 6, 8, 12, 24) be partially ordered by the relation ab. Illustrate the…

A: As per our guidelines we are supposed to answer only first one. Kindly repost other parts in the…

Q: Let A= {1,2,3,4,5} and define a binary relation Ramong the subsets of A as follows: XRY XCY. a) Is R…

A: A relation 'R' is defined on set 'A' is said to be: Reflexive : ∀a∈A      aRa Symmetric: if aRb…

Q: n R m in Z if nm>0

A: 1) reflexive property : for all n in Z - {0}, we have, n R n because, n•n = n² > 0 But, for n = 0…

Q: let A= {a, b, c, d} and R= { (a,a), (a, c),(b,d),(c,a),(c,c),(d,b)} be a relation on A. draw a…

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Q: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given conditions are met,…

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Q: Let A = {6, 8, 13, 15, 9, 16} and define a relation R on A as follows: xRy ⟺ 7 |(x – y) Draw a…

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Q: A relation that assigns to each element x from a set of inputs, or ________, exactly one element y…

A: To fill: The blanks of statement: Given: The statement is "A relation that assigns to each element x…

Q: Determine for the following relations on the set of people if the relation is an equiv- alence…

A: We have 4 relations in our hand. We need to decide whether they are An equivalence relation A…

Q: In each item below, verify that ~ is an equivalence relation on the given set. (a) Let S = Z x N.…

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Q: Determine whether the relation R on  the set of all people is reflexive,symmetric, antisymettric…

A: Consider the provide question,

Q: Suppose that P is a unary relation symbol, Q is a binary relation symbol, f is a unary function…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

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: Determine whether or not the relation ? on the set of all people is reflexive, symmetric,…

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Q: For non empty binary relation R={(a, a),(a, b),(b, a),(b, b),(c, c),(c, d),(d, c),(d, d)} on the set…

A: We have to solve given problem:

Q: Consider the subset relation C on the power set of {a,b,c}, that is P{a,b,c}. (a) Construct the…

A: Let S be a partially ordered set. Use the following definitions, to obtain the solution. Let a,b∈S…

Q: Subject: Set Theory

A: • Transitive relation means that, whenever an element a is related to an element b and b is related…

Q: Write down all of the properties that each of the following binary relations satisfies from among…

A: The objective is: (a) To write down all the properties for “has a common language with” relation on…

Q: Let A = {1,2,3,4}, B = {2,3,4,5}, and C = {2,4,6,8,10}. Suppose R is a 3-ary relation that is…

A: To determine the triples in the array.

Q: Determine if the relation described is an equivalence relation on the given set. Let S = Z+, a ~ b…

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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: Let A # 0 be a set. Prove that A? is an equivalence relation on A.

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Q: 4. Prove that the next relation is equivalence relation on the set of all people: {(x, y)|x and y…

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Q: Given the relation R on the set of all integers defined by the rule (x, y) ER if and only if x 2 y².…

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Q: Let A = {2,7,8,10} and B = {1,5,8,12} and let & be the "greater than or equal to" relation. That is,…

A: The given sets are A=2,7,8,10 and B=1,5,8,12 To find: The ordered pairs which satisfies σ and σ-1

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: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: (d) Is M antisymmetric? If not why not? (g) If M is an equivalence relation, what are the…

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem. Please…

Q: 20 - Determine whether the relation with the directed graph shown is an equivalence relation ? a d

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Q: Determine whether or not the relation ? on the set of all people is reflexive,  symmetric,…

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Q: Q5: Given a set A of all people in your 230 class, consider a binary relation R between a pair of…

A: Given a set A of all people in your 230 class, a binary relation R between a pair of classmate…

Q: Let R be the following relation on the set of all people. R= {(a, b) : a and b share a common…

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Q: 1. Consider the following relations defined on the set {a, b, c}. For each relation, determine…

A: (a) Reflexive functions are the ones whose domain and range are the same  for instance a,a∈R1 So…

Q: equivalence

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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: Determine whether the relation ? on the set of all people is reflexive, symmetric,  antisymmetric,…

A: We have to determine whether the relation R on the set defined in the parts (a) and (b), are…

Q: Let A = {1, 2, 3, 4, 5} Determine whether the relation R whose diagraph is given is relflexive,…

A: A relation R is said to be reflexive on the set A if for every element x in the set A, the ordered…

Q: Recall that binary relations are merely sets of pairs of elements of some set. Therefore if R and Q…

A: We have to check R union Q antisymmetric if R and Q antisymmetric