Q3. Let R be the relation R (1, 2),(1, 3),(2, 3),(2, 4),(3, 1)} and S be the relation S= {(2, 1), (3,1), (3, 2),(4, 2)}. Find SoR

Q: Let x1, x2, y1, y2 be real numbers. The expression (x1, y1) ~ (x2, y2) means that x12 + y12 = x22 +…

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Q: For the relation R closure of R. {(1,2), (1,4), (3,3), (4, 1)} find (i) R2 (ii) R3 and (iii)…

A: The given relation,

Q: List the ordered pairs in the relation R from A ={0,1,2,3} to B = {0,1,2,3} where (a,b) ϵ R, if and…

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Q: Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

A: There are 3 elements in A And there are 2 elements in B

Q: The relation on Z × N defined by, (a, b) ~ (c, d) if ad bc.

A: The objective is to show that the relation a,b~c,d then ad=bc is an equivalence relation. To show…

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: 2,3,4,5

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Q: 2.  LetA={0,1,2,3,4}.  Write out the relation R that expresses ≥ on A.

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Q: 1. 2. b 1 1 0 1 3 0 1 1 0 0 0 1 1

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Q: 1 In the relation . If R, =1 and %3D R R R, R,%3D3, find R.

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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: 3. Let R be the relation from X = {1,2,3,5} to Y = {0,3,4,9} defined by Ry if and only if x? = y.…

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Q: For the relation R = {(1, 1), (2, 8), (3, 27), (4, 64), (5, 125)}, give the domain.

A: Given, The relation R = {(1, 1), (2, 8), (3, 27), (4, 64), (5, 125)} The domain of relation is…

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

Q: Let the relation S defined as S = {(x,y) | y = X2 + 4x +3}. What is the domain of S?

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Q: What is the domain of the relation x(x-3) ? {(X,y): y = (x+4)(x-7)). ) {x: x = R, x -4, x > 7} ) {x:…

A: Domain of function f(x) is the set of value of x for which f(x) is defined.

Q: Define a relation R on Z as follows: For all integers m and n, m R n 5| (m² – n²). a. Is 1 R (–9)?…

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Q: Let A = {0, 1, 2} and B = {0, 8, 9}. If R is the relation from A to B such that (a, b) ∈ R provided…

A: If ab=0 then either a or b is equal to 0 Both also can be 0.

Q: а. {(0,0), (1,1), (2,2), (3,3)} b. {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)} с. {(0,0),…

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Q: (c) The domain of relation D is {2, 3, 12, 16, 27, 48). For x, y in the domain, xDy if y is an…

A: To draw: The arrow diagram for each relation (c) The domain of relation D is 2, 3, 12, 16, 27, 48.…

Q: Q1: Find the first 5 terms of the recurrent relation below. A, = 2A,-1 + 3An-2 where n 2 1, and A, 1…

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Q: () -- () --()-() --- Let vi = 2 v2 = 4. 5, v3 = 6 v4 = 6. 7 If is a depen- 1 dence relation on (v1,…

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Q: List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b) e…

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Q: - Let C= D=(-3,-2, -1,1, 2, 3) and define a relation S from C to D as follows: For all (x, y)e CxD,…

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Q: Q2. (a) Find the equivalence class [-3]5 (b) Find the ordered pairs of the relation R from the set A…

A: We have to answer the following questions :  (a) Find the equivalence class  -35 (b) Find the…

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: Draw the shape of relation z - V3e Зе V3.

A: We are given the relation : z-3eiπ3=3---(1) Now, Let, z=x+iy---(2) Now, 3eiπ3=3cosπ3+i…

Q: consider the relation R={(1,a),(1,b), (3,b),(3,d), (4,b)} form X={1,2,3,4} and Y={a,b,c,d}. Thus…

A: Consider the relation

Q: Consider the relation R = {(a, a), (c, a), (b, c), (d, b)} then which of the following set…

A: We need to find R3 given R=a,a,c,a,b,c,d,b Now,  R2=RοRR3=RοR2=R2οR The composition of two…

Q: - List the ordered pairs in the relation R from A = (0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b)…

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Q: 1. State the domain of this relation. * 2 -2 {x ɛR} O {x ɛ R, x + 1} O {y ɛ R} O {y ɛ R, x + 1}

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Q: prove why each relation has or does not have the properties: reflexive, symmetric, anti-symmetric,…

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Q: List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B {0, 1, 2, 3}, where (a,b) e R…

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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: 1. Give the domain and range of the relation. 13 0. 0. -3 -5 a. D: {2, 6, –3, 5, 13, –5}; R: {0} b.…

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Q: Let C = D = {-3, -2, -1, 1, 2, 3) and define a relation S from G to D as follows: For all (x, y) E C…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. Identify the domain of the relation: 其-5 |-2| 1 10 11 4 10 а. -5, 10 b. 10, 11, 4, 10 C. -5, -2,…

A: We have to find the domain of function

Q: Coot R be the relation A = S 2, 34 S,,73 de fned the ゲ rule Cab) ER if the wlese Carbs dixindle the…

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Q: 1. Let A (2,3,4) and B= (6,8,10) and define a relation R from A to B as follows: For all %3D (x, y)e…

A: Basic properties of sets and relations can be used to find the answer to this question keeping in my…

Q: The domain for the relation A is the set {2, 5, 7, 8, 11}. For x, y in the domain, xAy if |x-y| is…

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Q: 3. Find all ordered pairs in the relation R from A = (a,b) E R if and only if a + b = 9. {0,2,4,7}…

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Q: 6. If A = {1, 2, 3} and B = {2, 3, 4}, and R is the relation xRy when x + y is divisible by 3, then…

A: Given: A={1,2,3} B={2,3,4}

Q: Let A= B = Z. Let R be the relation from A to B defined by a Rb if and only if a² – b² = 9.…

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Q: One of the followin relations is not symmetric,where A={1,2,3,4}: .a…

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

A: using the concept of relation ...

Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: Consider a relation R on Z = {3,4,5,6} is defined by pRq iff 2p + q is even. a) Please list the…

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Q: 2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y)…

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Q: 14. The number of ordered pairs in the relation R from = {0,1,2,3,4} to B = {0,1,2,3} where (a, b) E…

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Q: Given A = {1,2, 3, 4} and B = {x,y , z}. Let R be the following relation from A to B: R =…

A: Given A=1,2,3,4 and B=x,y,z Let R be the following relation from A to B such that…