Let A = {x: x is a course offered by Trinity University of Asia} B = {x: x is a college in Trinity University of Asia} 1. Define a relation that will relate the elements of set A to elements of set B. 2. Is the relation in # 1 a relation or not? Justify your answer. 3. Define a relation that will relate the elements of set B to elements of set A. 4. Is the relation in # 1 a relation or not? Justify your answer.

Q: Write true otherwise false if the pairs of sets are equal,{{1}},{1,{1}}

A: Two sets A and B are equal if A and B  have the same elements.

Q: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b) , (a, c) , (b, c)} To obtain the…

A: Transitive relation means if (x, y) and (y, z) are in R, then (x, z) will also be in R.    Using…

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: Consider the relation A ≤ B if the properties of A are also contained in the properties of B. Let S…

A: Partial ordering :                     A relation R on a set A is called a partial order relation if…

Q: 11. Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether…

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Q: Let A be the set of students {Tom, Jim, Lisa, Mary}. Let B be the set of courses {C100, C200, C300}.…

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Q: Given the relation R = {(1,2),(2,3)} on the set A = {1,2,3} . What is the minimum  number of ordered…

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Q: Consider the relation “is multiple of “on the set A = {2,5,10,25,40,3,12,6} find the relation and…

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Q: and B = {Thaddeus, Peter} be the set of male members. Let R be the relation between the sets A and B…

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Q: What describes simply a set of ordered pairs that are arranged in an orderly manner?

A: What describes simply a set of ordered pairs that are arranged in an orderly manner?

Q: 9.4. Let A = {a, b, c} and B = {1,2,3,4}. Then R1 = {(a, 2) , (a, 3) , (b, 1),(b,3), (c, 4)} is a…

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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: Use graph to find set. (- ∞, 5)∩ [1, 8)

A: To determine: The set -∞,5∩[1, 8) using graph.

Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

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Q: Express the relation represent the number of pencils sold and the money earned as a table, as a…

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Q: Which relation has a domain of (3, 5, 8} ? O(2.8). (1. 3), (3, 5)} O(3, 8). (5. 3). (3, 5)} O (3.…

A: Domain of relation: The set containing all the first elements of all the ordered pairs of relation R…

Q: Which is the correct arrow diagram for this relation R,= {(2, 3); (3, 5); (4, 7); (5, 9); (6, 11)) А…

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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: 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: 1. Let A = {0, 1,2,3,4,5). Write out the relation R that expresses > on A. Then illustrate it with a…

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Q: Prove or disprove. Let A, B and C be sets. If A x C = B x C, then A = B.

A: A cartesian product of two sets A and B is given by the set A×B=a, b | a∈A, b∈B. It is given that…

Q: 1. Make a table of values for each relation. Graph each pair of relations on the same set of axes.…

A: Given functions are y=3^x and y=3^-x. As (1/b)^a = b^-a

Q: 6. Create a table of values for each relation with a minimum of 4 points. Graph each pair of…

A: The graph is defined as the pictorial or diagrammatic representation of the given function or the…

Q: Identify the directed graph that represents the relation {(a, a),(a, b), (b, c), (c, b), (c, d), (d,…

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Q: 6. a) Given the graph, list 5 pairs of numbers that are part of this relation b) Create the equation…

A: 6) Here we have a graph, a) We have to list 5 pair of numbers that are part of this relation. b)…

Q: The number of relations on the set A = {1, 2} is 256 . O True False

A: Number of relation with n elements 2n2

Q: What is the possible number of reflexive relations on a set of 5 elements?

A: Introduction : We have give a set of 5 elements , we have asked for the number of reflexive…

Q: Let A = {1, 2, 3}, B = {a, b, c), and C = {6, 8}. Let R = {(1, a), (2, c), (3, b)} be a relation…

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