Let A = {12, 21, 24, 45, 55), B = {3, 4, 5} and R be the relation from A to B: For all (x, y) E A× B, xRy if and only if *E Z ez a) State expliatly which ordered pairs are in R and R-1, and then draw arrow diagrams for R and R-1. www b) Describe R-lin words.

Q: b) Let A = {0, 1, 3,4, 5, 6} and define the relation R and S on A as follows: For every (x, y) €A,…

A: all the ordered pairs (x,y) in the relation R and S and SoR are given below...

Q: Let A be the set of all triangles defined by R = {(A1, A2) : A1 =A2). Show that R is an equivalence…

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

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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…

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: The relation R is defined in A = {1, 2, 3} by a Rb if |a² - 6² ≤ 5. Which of the following is 2…

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Q: 5. Identify each relation as linear, quadratic, or exponential. a) YA b) c) -4 -20 +2 -6 4 4 6 2 YA…

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Q: 11. Let R₁ and R₂ be the relations on {1,2,3,4} given by R₁ = {(1,1), (1,2), (3,4), (4,2)} R₂ =…

A: Sol:- To find R1 o R2, we need to compose the two relations. The composition of relations R1 and R2…

Q: E. 1. Let R = {(0, 0), (1, 2), (2, 1), (2, 3), (3, 3)}be the relation on A = {0, 1, 2, 3}. Then, R2…

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Q: Q4) Find the following: 1- Find the relation Z from C to X where C = {1, 2, 3, 5} and X = {4, 6, 9}.…

A: Here, C=1,2,3,5X=4,6,9

Q: 3. Select the range of the relation. {(Alabama, monarch butterfly). (Arkansas, honeybee),…

A: To find the range of the given relation.{Alabama, monarch butterfly, Arkansas, honeybee,…

Q: 1) Let A = {12,21, 24, 45, 55}, B = {3,4,5} and R be the relation from A to B: For all (x, y) E A x…

A: We have to solve given problems:

Q: Matnces 49 00 O Let A = ーリ fFind , 和 the a, b, and c relation be tween is A I,? In this case what is…

A: Given  A=100a-10bc1 A2 is given by A2=A.A=100a-10bc1100a-10bc1               =…

Q: Q1\| Let A and B be sets and let R be a relation from A to B. Then: ran R= dom R.

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Q: Identify the relation on set (1,2,3,4} if it is reflexive, symmetric, antisymmetric or transitive.…

A: We know that , relation is relationship between sets of values. A binary relation R defined on set A…

Q: A 1 2 3 O A. Congruent B. Supplementary C. Complementray O D. Equal B.

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Q: 2. Let R₁ be a relation on the set A and R₂ be a relation on the set B. Let R be the relation…

A: A relation is a subset of Cartesian product of two sets. Therefore, every element in a relation set…

Q: 13) Let A = {2, 3, 4, 5, 6, 7, 8} and define a relation R on A as follows: for all x, y € A, хRy+3|…

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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: Suppose the following relations are defined on the set of A = {-2, -1,0 1, 2, }, . List the pairs in…

A: For relation R on a set A.   R is reflexive if (a,a)∈ R, for every a∈ A.   R is symmetric if (a,b)∈…

Q: If #: $ a,b,c} which of these celations are a funchion? Emplain, cab) CS

A: Solution : Given :    A= {a, b, c}  Set of relations are      a)    { (a, b), (b, c), (c, c) }…

Q: 4. Let S be a set and RC S × S. Given elements a and b of S we say that a is related to b if (a, b)…

A: Hey, since there are multiple subpart posted, we will answer first 2 questions. If you want any…

Q: 10) Let R be a relation on A = {1,2,3,4,5,6,7} as x R yx + y = 6. a. Find relative set R(B), where B…

A: (10) Consider the provide question,  (a)

Q: Let A = {a, b, c} and B = {r, s, t,u}. Furthermore, let R = {(a,s), (a, t)}, (b, t) be a relation…

A: Step:-1 Given that A=a, b, c,  B=r, s, t, u And R=a, s, a, t, b, t that is,  Hence,  Domain of R =…

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: 2. Let R be the relation on the set {1,2,3,4} containing the ordered pairs (1,2), (1,4), (2,1),…

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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: Considering A as a set which contains the elements (2,3,4,5,6,7.8}, Define a relation R from A A by…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: а) The relation R on A = {3, 5, 7, 9} is defined by the ordered pairs below: R= {(3, 3), (3, 9), (5,…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 9. Let X = {r1,12, 23, T4}, Y = {yı,y2, Y3}, and Z = {zı, z2}, Let R be the relation from X to Z…

A: Given: 9) X=x1, x2, x3, x4, Y=y1, y2, y3 and Z=z1, z2, z3. R=x1, z1, x2, z2, x3, z1, x3, z2 and…

Q: 3. Let R be the disequality relation on {1,2,3}. List all the ordered pairs in the relative product…

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Q: Which relations are partial order? O A={5,6,8,10,20} and R={ (a,b) E A x A; a divides b} O Let…

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Q: Q3. Suppose A = {1,2,3,4}. Which of the following sets is the relation R = {(a,b)|a+b is odd }? A. R…

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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: Let A = { 2, 3, 4, 5, 6, 7, 8, 9, 10} Let R be a relation on A defined by R = {(a, b) : a e A, be A,…

A: We have to find the domain

Q: 5. Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1, 1), (1, 2), (1,…

A: Let R be the relation on the set 1 , 2 , 3 , 4 , 5 containing the ordered pairs  1 , 1 , 1 , 2 , 1 ,…

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. Suppose R = {(1,1), (1, 4), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 1), (4,2), (4, 4)} be a…

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Q: . Given the relation R1 from X = {1,2,3,4} to Y = {a,b,c} and R2 from Y = {a,b,c} and Z = {6,7,8}…

A: Here given  Relation R1 from X=1, 2, 3, 4 to Y=a, b, c is defined as R1=1, a, 2, a, 2, b, 3, c, 4,…

Q: Plz explain properly.

A: The objective of this question is to find the Cartesian product of sets A and B, the relations R and…

Q: Let A = {0,1, 2} × {0, 1, 2, 3}. We define an equivalence relation R on A by saying that (a, b)R(c,…

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