B. Consider the following relation on {1, 2, 3, 4, 5} R1 = {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3), (4,4, ), (5,5)} R2 = {(1,1), (1,2), (3,1) 4,3)} R3 = {(1,1), (1,2), 1,3)(2, 2), (3,1), (2,3), (4,3)} R4 = {(1,1), (2,2), 3,3)(2, 1), (2,3), (3,1), (4,5), (5,4)} R5 = {(1,1), (1,2), (1,3)(2,2), (3,1), (2,3), (4,3), (4,5)} %3D %3D %3D Question: Which are transitive? Why?

Q: With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f +…

A: Given f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) The domain of f =…

Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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Q: Identify the matrix that corresponds to the relation {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)).…

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Q: Which of the following sets spans Rº 3 None O {(1,2,3),(0,0,0)(-2,1,0)} {(2, – 1,2),(4,1,3),(2,2,1)}…

A: vectors span R3 means that some combination of the vectors can take up all of the space in R3.

Q: 6.A. Let A = (1, 2, 3) and B = (1, 2, 3, 4) and define a relation R from A to B as Given any (x. y)…

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Q: Represent the following relation in the roster form. 2. 3 B none of the above -6 8 9 10 R= {(2, 11)…

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Q: Question 4 (a) Let Ri and R2 be the relations on {a, b, c, d} given by R = {(a, a), (a, b), (c, d),…

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Q: 1. Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. a) Find the domain of f: {1, 2, 3, 4, 5} O {2, 4, 6, 9}…

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Q: List down the elements of A = = {x|x²<45,x € Z} A) {0, 1, 2, 3, 4, 5, 6} B {-6, -5, -4, -3, -2, -1,…

A: The objective is to list down the elements of A.

Q: The relation…

A: Given: R is a relation from A to A such that A=1,2,3,4,5 &amp;…

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: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

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Q: Let A={1,5,6,8,10} and R={(1,1), (5,5), (8,8), (10,10),

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Q: 11. What is the domain of the relation show in the graph? O (-5,-4,-2,0,3) O (-3,-1,1,5) O (1,5) O…

A: Graph of a relation is the collection of ordered pair of points (x,y) in the cartesian coordinate…

Q: Which of the following relations is the Symmetric relation over the set A= {3,5,13}…

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Q: Given the relation R= {(1,1), (2.2), (3.3)(4.4), (1.2). (2.1) (3.4). (4.3)) on the set X- (1,2.3.4).…

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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: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

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Q: Identify the missing ordered pairs from the given list. The list of all ordered pairs in the given…

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Q: Let R and S be relations defined on the set of {8, 1, 2, 7}. R = {(1,8), (7, 8), (8, 1), (7, 7)}. S…

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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: |Given the relation R= {(1,1), (2, 4), (3, 1), (4, 1), (5,2)} on the set A= {1,2,3,4,5), find the…

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Q: Let R = {(1,1), (2,2), (3,3)} be a relation on a set A-{1.2.3}. then R? is equal to R is %3D O True…

A: Sets and relations are correlating with each other in the context of how they are interrelating to…

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 = {12, 13, 15, 16} and B ={13, 15, 17}, and let the relation R from A to B be defined by…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2² +x-12 a Given f (x) = g (a) = x² +6x+5 x² +3x-18' find (fg) (0)? x2 -1 3 10 10 3 10 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let A (11, 22, 33) and B- (11, 22, 33, 44). If the relation R₁ ((11,11).(22,22),(33,33)) and R₂-…

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Q: Suppose p and o are relations defined on S = {1, 2, 3, 4} by the sets p = {(2, 2), (3, 2), (3, 4),…

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Q: 6. (a) Let sets S = {A, B} × {1, 2, 3} and T = {A, B} × {1, 2, 3, 4} . How many different one %3| to…

A: The total number of elment in set s will be  and total number of element in set T will be

Q: - If A = {2,3} and B = {x | x ≤ Z+,x <3}, then A x B= Select one: O a. {(1,2), (1,3), (2, 2), (2,3)}…

A: Given that the setsA=2,3 and B=x | x∈Z+ , x&lt;3

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Q: Which relations are partial order? O None of the propsed relations O A={5,6,8,10,20} and R={ (a,b) e…

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Q: Let A = {a, b, c, d, and let R be the relation R = {(a, a), (b, b), (c, c), (d, d), (c, b), (a, d),…

A: A relation R on a non empty set A is said to be a Total order if it satisfies the…