1. Given A = {1, 2, 3, 4}, B = {a, ß,7} and R= {(2,B), (2, 7), (4, B), (1, a), (1, 7)} (a) Determine the matrix of the relation. (b) Draw the arrow diagram of R. (c) Find the inverse relation R-1 of R. (d) Determine the domain and range of R.

Q: Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

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Q: In the following problem, begin by drawing a diagram that shows the relations among the variables.…

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Q: Given f = {(-3, 40), (-2, 25), (-1, 14), (0,7), (1, 4), (2,5), (3, 7)} and g= {(1,4), (0, 5), (1,…

A: f is defined at points x = -3 , -2 , -1 , 0, 1 , 2  and 3 .So, domain of f is : { -3, -2, -1, 0, 1,…

Q: List the ordered pairs in the relation R from A = 0, 1, 2,3,4, B = 1,2,3, 4, 5, where R is defined…

A: Relation : A relation from a set A to a set B is a subset of A×B. i.e. a relation R consists of…

Q: Represent the relation R on (refer to image)

A: According to the given information, Relation R is defined as:

Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: Let f {(0,-3),(9,4),(-6,9)} and h={(-6,4),(-3,9)}. Find fo h. foh= (Use a comma to separate ordered…

A: The given functions  and .The objective is to find the composition function .

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: The relation,R={(2,1),(1,3),(3,2),(1,0)}, be definedR:{0,1,2,3}→{0,1,2,3}:(a) FindR−1, the inverse…

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

A: We need to identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b),…

Q: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

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Q: The R is the relation from {1, 2, 3} to {1, 2, 3, 4} with R = {(1, 1), (1, 2), (2, 3), (3, 4), (3,…

A: Here,  R=1,1,1,2,2,3,3,4S=1,0,2,1,3,2,3,0,4,1

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: Find the inverse of the given relation. R= {(-6, 6), (–11, 7), (–1,9), (4, –9), (9, 8), (2, –6), (6,…

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Q: 4. Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5,-2),…

A: To find inverse of the given relation.

Q: Consider the relation{(1,1), (1,3), (1,4), (2,3), (2,4), (3,1), (4,1), (4,2)} on the set a.…

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Q: Consider the relation on A = {a, b, c, d, e} given by R={(a,b),(b,c), (b,d),(b,e),(d,

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Q: 2. State the domain and range of each relation. a) {(0, 5), (1, 6), (2, 7), (3, 8)} b) {(1, 4), (2,…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Represent the following relation {1,2, 3, 4} with a matrix. {(1,1), (1, 4), (2, 2), (3, 3), (4, 1)}

A: Given below the detailed solution