1) Define a relation on the set of all people as follows: two persons x and y are related if and only if both have last names that starts with the same Latin letter (for example, Peterson, Pauli, Punjab, Pokamun, Pokrowski, and so on…). Determine if this relation is Reflexive, Symmetric, and Transitive. Explain why or why not.

Q: 13. Let X and Y be subsets of any finite, nonempty set. Give the properties of the relation where X…

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Q: If R is a relation defined from the Set A ={ 6,12,25,36} to the set B = {3,4,5,6} as follows: {(x,…

A: Part (i):   Relation set of R in the roster form:

Q: Given set B as B = {0,1,2,3,4}. Suppose set A is the relation and defined as a. A = {(x, y) E Z | xy…

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Q: 2. Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and suppose R is a relation defined by a is related to b…

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Q: 2. State the domain and range of each rela d) c) 1 b) 8 8 4 8 4 4 -8 8 4 8 8- 4 O 8 4- 8- -4- lo ↑y…

A: Since you have posted multipart questions i can do first three subparts as per our company…

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Q: 3. Let A be a set with A = 4. Let C be relation defined on pow(A), the powerset of A, as follows:…

A: Answer

Q: ame programs. A = the set of all people in the Social Security database; a Rb if and only if a and b…

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Q: a. If R is a relation defined from the Set A = { 6,12,25,36} to the set B = {3,4,5,6} as follows: R…

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

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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 = {a, b, c, d}. Suppose R is an equivalence relation on A. Suppose R has three equivalence…

A: To Determine: write R as a set .describe then all   Given: let A={a,b,c,d} suppose R is an…

Q: Let A = {x: x is a course offered by Trinity University of Asia} B = {x: x is a college in Trinity…

A: Given: A={x: x is a course offered by Trinity university of Asia} B={x: x is a college in Trinity…

Q: Given a set A={1,2,3,…,15} define a relation induced by a partition of set A and that partition must…

A: Given a set A={1,2,3,…,15} define a relation induced by a partition of set A and that partition must…

Q: A and B be two sets, and A - B = . a) What can you say about sets A and B? b) Draw a Venn diagram.

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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: Identify the correct steps involved in showing that lexicographic order is transitive. (Check all…

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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: 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: (а) Ri: {(а, a), (b, b), (с, с), (а, d), (а, b), (b, а), (ь, с), (с, b)};B Circle : Reflexive…

A: I have circle the relations

Q: Given the following relations on the set of all people. Check ALL correct answers from the following…

A: Let R be a relation on S, then R is calledReflexive: if Symmetric: if Antisymmetric:Transitive: If…

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A: As per the question we are given a relation on a set F represented by ≤, with the following three…

Q: Let P be the set of all people. Consider the relation pNq if p and q have the same first name. Which…

A: Given thatP be the set of all people.Consider the relation pNq if p and q have the same first…

Q: 5- Consider the following arrays VERT={1,2,6,4} , TAIL={1,2,2,4,4,3,4,1} , HEAD={2,2,3,3,4,4,1,3},…

A: Given the sets Tail=1,2,2,4,4,3,4,1 and Head=2,2,3,3,4,4,1,3, the digraph can be computed using the…

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

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Q: Let A be the set A = {a, b, c, d} and R a relation on A defined as the following:   R = {(a, a), (a,…

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

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Q: The following is an arrow diagram for the relation on the set {1, 2, 3, 4). 1 3 2 4 Match the…

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Q: I have the following questions: " Let R = ∅ be the empty relation on a nonempty set A. Which of…

A: Recall  the fact that let  A be any set  and  .So, it is  a relation on This  relation is  called…

Q: (d) Justifying your answer, find the smallest set of related pairs which must be added to R in order…

A: We know that a relation is called an equivalence relation if it is reflexive, symmetric and…

Q: b) Let A = {1, 2, 3, 4, 5, 6}=B and R be a relation from A to B such that a R b if and only if a is…

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