lation. Justify why your answers are corre R is a relation on the set of all people sue R is a relation on set {1, 2. 3. 4) with R =

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: Given set B as B = {0,1,2,3,4}. Suppose set A is the relation and defined as a. A = {(x, y) E Z | xy…

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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: 2,3,4,5

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Q: 3. a. If R is a relation defined from the Set A = { 6,12,25,36} to the set B = {3,4,5,6} as follows:…

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Q: A (a,b,c,d} 1. Find a relation which is symmetric but nelther reflexive and not transitive on A. ii.…

A: A relation R from a set A to another set B is reflexive if and only if x R x holds for all x in A. A…

Q: {2, 4, 6, 8} and define a relation R from A to Bas follows: for all (x,y) E AX B, (x, y) ER T. set…

A: As per our guidelines we are supposed answer only 3 subparts and rest can be reposted Given Data:…

Q: Let A = {2, 3, 4, 6, 7, 9} and define a relation R on A as follows: For all x, y e A , x R y = 3…

A: Given A = {2,3,4,6,7,9} xRy ⇔ 3 divides (x-y) Therefore 1)  R = (2,2) , (3,3) , (4,4) , (6,6) ,…

Q: Determine whether the given relation is reflexive, symmetric, transitive and an equivalence…

A: By definition of  relation it is define as A relation is symmetric if and only if (b, a) ∈ R…

Q: Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x + 1 }(i) Depict…

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Q: Suppose that the relation T is defined as follows. T= {(4,-4), (-5, 1), (0, 4), (-5, -8)} Give the…

A: Given query is to find the domain and range of the relation.

Q: Consider the relation being described by the following arrow diagram. Which of the these statements…

A: (i) It is given that ;      S = {6, 7, 8}  and  T = {2, 4, 6} And the relation between S and T is :…

Q: 4 1) 3 bes this digraph illustrate a relation that is symmetric or transitive or neither? ymmetrid…

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Q: a. If R is a relation defined from the Set A = { 6,12,25,36} to the set B = {3,4,5,6} as follows: R…

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Q: 2) Define a relation R from {a, b, c} to {u, v} as follows: R = {(a, v),(b, u),(b, v),(c, u)}. a)…

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Q: Let A = {n| 3 < n S 30} and define a relation on A such that aRb iff a |b. List the relation set R.…

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Q: For each relation, declde whether or not It Is a function. Relation 1 Relation 2 Domaln Range Domaln…

A: A relation is said to be a function when there is a unique image for every preimage.

Q: Suppose that the relation S is defined as follows S={(8,-4),(-7,-4),(4,8)} give the domain and range…

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Q: Let A= {0,1,2,3,4} and a partition of A be: {0,2},{1},{3,4} (a) Write all pairs of the relation…

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Q: Let A = {0,1, 2}. Each of the statements below defines a relation R on A by (m,n) E R if the…

A: A relation between two sets is a set of ordered pairs x,y where x is an element from the first set…

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: A = {1, 3} and B = {2, 4, 6}. Define a relation R from A to B as follows: for all (x, y) ∈ A × B…

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Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: For all (x,y)∈A×A,(x,y) ∈ S if…

A: Solution : Given :             A = {3, 5, 7, 8} ,                         S is a relation from A to…

Q: Let S be the set of all real numbers and let R be a relation in S, defined by R = {(a, b) : a < b³}.…

A: Given relation is R = {(a, b) : a ≤ b3}

Q: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the…

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

A: We have to find the relation and write as set notation.

Q: Check whether the relation R on the set S = {1, 2, 3} is an equivalent relation where: ? = {(1,1),…

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Q: ) Can you find a well-order relation on the set A x B?

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Q: d) Let R be a relation on Z and x R y if x - y is even. e) Let R be a relation on N x N where (a, b)…

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Q: Suppose that the relation S is defined as follows. S= {(0, -9), (-2, 8), (8, 2), (9, 9)} Give the…

A: NOTE: Refresh your page if you can't see any equations. . The domain is the set of all the values…

Q: Check whether the relation R on the set S = {1, 2, 3} is an equivalent relation where ? = {(1,1),…

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Q: A relation is an equivalence relation if it satisfies three properties. which of the following…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 11. Let C= (0, 1, 2) and D= (2,4, 6, 8) and define a relation R from A to B as follows: For all (x,…

A: We have to determine the above terms for the given relation.

Q: Suppose that the relation H is defined as follow. H=(7,7),(0,-1),(3,9),(-9,3). Give rhe domain and…

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Q: Find two sets: Find sets A and B such that JA| -4, 8|-6 and JA or B-8. How large is A and B|? 3…

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Q: 5. Let A = {6, 8, 10, 15, 17} and B = {2, 3, 4, 5} and define a relation R: A → B as follows: For…

A: Given: A={6, 8, 10, 15, 17} B={2, 3, 4, 5} Relation R:A→B is: For all x,y∈A×B∈R if and only if…

Q: Suppose that the relation S is defined as follows. S=(-6,0),(-7,8),(3,8). Give the domain and range…

A: We will solve the following

Q: A relation R is called circular if (a, b) E R and (b, c) e R implies that (c, a) e R. Show that a…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve the…

Q: 9.13. Let S = {a, b, c}. Then R= {(a,b)} is a relation on S. Which of the properties reflexive,…

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Q: In each case below, a relation on the set {1, 2, 3} is given. Of the three properties, reflexivity,…

A: (a) Given relation on the set {1,2,3} is R = {(1,3) ,(3,1),(2,2)} (i) Clearly (1,1) is not belong to…

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.

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: (a) Explain what it means for a relation R on a set S to be (i) reflexive; (ii) symmetric; (iii)…

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Q: Let A = {1, 3, 4, 6, 8, 9} and a relation on A is defined by the following: a R b if and only if a…

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That…

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

Q: cercise 2. Give an example of a relation R on A = {1,2,3} that is neither reflexive or irreflexive.

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

Q: Suppose that the relation S is defined as follows. s= {(-6, – 3), (-9, 1), (1, – 1), (-6, 0)} Give…

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Q: Let R be the relation on the set of all mathematicians that contains the ordered pair (a, b) if and…

A: Let R be the relation on the set of all mathematicians that contains the ordered pairs  (a,b) if and…

Q: Let A = {1, 2, 3, 4, 5} Determine whether the relation R whose diagraph is given is relflexive,…

A: A relation R is said to be reflexive on the set A if for every element x in the set A, the ordered…

Q: 9.12. Let S = {a, b, c}. Then R = {(a, a), (a, b) , (a, c)} is a relation on S. Which of the…

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