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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: Let A = {4, 5, 6} and B = {6, 7, 8), and let S be the "divides" relation from A to B. That is, for…

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Q: (b) Let R be the relation on the set S = {a,b, c, d, e} consisting of the following 6 related pairs…

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Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9} and let R be the relation {(a,b) ! a , b} Find the smallest…

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Q: A person’s birth date consists of the month, day, and year in which that person was born. The domain…

A: Here, relation R is given as a set of people where no two people in group can have same date of…

Q: Given set A={1,2,3,4,5} and a relation R on set A, R = {(1,2), (1,3), (2,2), (2,4), (3,1), (3,5),…

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Q: Let A = {4, 5, 6} and B = {6, 7, 8}, and let S be the "divides" relation from A to B. That is, for…

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Q: 2. Let A = {1,2, 3}, B = {4,5, 6}, R = {(1,4), (1, 5), (2,5), (3, 6), and || %3D S = {(4,5), (4, 6),…

A: Given set in the question are  A=1,2,3B=4,5,6R=(1,4),(1,5),(2,5),(3,6)S=(4,5),(4,6),(5,4),(6,6)Then…

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: Could you please help me?

A: The example of the set and their relation which is Symmetry , Transitive but not reflexive  A=1,2,3…

Q: Let R be a relation from A to B and defined "x is at least twice as big as y." Write R as a set of…

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

A: First we will find out the value of the functions given at the points. Then using these points we…

Q: By listing the elements as ordered pairs, define a relation on the set A = {e, 2, 7, ♡} which is:…

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Q: Define the relation r on S = {A, B, C, D} by r ={ (A,B), A,D), (B,A), (B,C), (C,A), (C,B), (D,B)}.…

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Q: Given the digraph below of a relation R on A = (a,b,c,d), write all the ordered pairs that are in R.

A: We are required to find all the ordered pairs that are in R from the diagraph given in the question.…

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: 4. Let G = {–2, 0, 2} and H = {4,6, 8} and define a relation V from G to H as follows: For all (x,…

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Q: Let A = {1,2,3, 6}. Define a relation R on A as follows: %3D xRy if y – x > 0 Write out the relation…

A: We have to find the relation R.