If R is a relation defined from the Set A ={ 6,12,25,36} to the set B = {3,4,5,6} as follows: {(x, y) E A × B | y divides x} R = nd the following: i. Relation set of R in roster form. ii. Domain and Range of the relation R. ii. Restriction of R on C, where C = {6,12}. v. Find the element related to D, Where D = {25,36}. v. Find the matrix form of R.

Q: Let A = { 2, 3, 4 } and B = { 6, 8, 10, 12 } and define a relation R from A to B as follows: %3D For…

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Q: 2. For each of the following relations, indicate whether it is a partial order, a strict order, or…

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Q: On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a;…

A: The set is A=a, b, c, d, e, f, g, h and the relation is R=a; b, a; c, a; d, a; e, b; f, c; f, d; g,…

Q: Let P = {2,3,4,5} and define a relation R from P to P as follows: For all (x,y)∈P×P,(x,y)∈R if and…

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Q: Given the relation R = {(u,t),(v,t),(w,t),(w,u),(w,v)} on a set A = {t,u,v,w}, what is/are the…

A: topic - relation

Q: If A (1,3.4) and R is a relation defined on A as: R = {(r.y) E Ax A:r-y is odd ), Then relation Ron…

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Q: Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} asR = {(a, b) : b = a + 1} is…

A: Given, relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1}.

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: 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: Let A = {4, 5, 6} and B = {6, 7, 8}, and let S be the "divides" relation from A to B. That is, for…

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Q: 6f) For the set X = {m,n, p, q,r, s}, let R be a relation on P(X) (the power set of X), given by A R…

A: Yes , this is correct. The set X= {m, n, p, q, r, s} |X|=6 The power set P(X)={ {}, {m}, {n},…

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

A: NOTE-AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESSION SO, I HAVE ANSWERED FIRST THREE…

Q: Let R = { ( a, b ), ( a, d ), ( b, d ), ( c, a ), ( c, c ), ( d, b ), ( d, c ) } be a relation on…

A: Given: R=a,b,a,d,b,d,c,a,c,c,d,b,d,c   The relation R2 contains all ordered pairs (x, z) if (x, y)…

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: For each of the following relations, determine whether it is (a) reflexive, (b) symmetric, (c)…

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Q: 12. Let P = {2,3,4,5} and define a relation R from P to P as follows: For all (x, y) E P X P, (x, y)…

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Q: Let A = {2,3, 4} and B = {6,8, 10}, and define a relation R from A to B as follows: For all (x, y) E…

A: According to Bartleby guidelines I can only answer only one question out of two you have given. Also…

Q: Define the relation R on set A as follows: xR y if and only if { x, y} C A or {x, y} c A, or {x,y} <…

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Q: Suppose A,S C U, (<) E LOrd(A), and B := (a1, b1), (a2, b2) E (A × B): D(S). If we define a relation…

A: Given A,S⊂A ≤ is the lattice of A. B is the power set of δ , P(S) so if b1,b2 be two subsets of B.…

Q: 9.4. Let A = {a, b, c} and B = {1,2,3,4}. Then R1 = {(a, 2) , (a, 3) , (b, 1),(b,3), (c, 4)} is a…

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Q: Given R = {(m, m), (s, s), (e, e), (m, e), (s, e), (s, m), (e, m)} is a relation on set A = {m, e,…

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Q: Let R be the relation on the set S = {1,2, 3, a, b, c} given by xRy if and only if (x, y) E {(a, a),…

A: S=1,2,3,a,b,c To find: (a) , (b) , (c).

Q: Define a relation C from R to R as follows: For any (x, y)  £ R x R.  (x, y)  C means that x² + y²…

A: Given: Define a relation C from R to R as follows,for any (x,y)∈R×R (x,y) C means that x2+y2=4

Q: Consider the set Q = Z × (Z 10), and the relation fupon Q Defined as: (a, b) ↑ (c, d) + a•d = b•c a)…

A: we shall solve the part (a) only , if you want us to do other parts please resubmit the question…

Q: 5. For each of the following relations, indicate whether the relation is reflexive, anti-reflexive,…

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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)…

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Q: b( Let S be the relation defined on P ((1, 2, 3, 4}) defined by X SY if and only if IX| = |Y| (mod…

A: The complete solutions are given below

Q: Let R be a relation defined on Z as follows: (a,b) is an element of R if and only if the square of a…

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Q: Consider the following relation T defined on the set A = {1, 3, 5, 7, 9): T = {(5, 7), (1, 9), (3,…

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Q: Draw the Hasse diagram for the relation C on the set P({1,2,3}).

A: According to the given information, it is required to draw the hasse diagram for the given relation.

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: Let A = {3, 5, 6} ,R relation on A defined by R = {(a, b) : a < b, a, b e A}. rit O a. {(5,3),…

A: If A= {3, 5,6} , Where R = {(a, b) : a&lt;b, a, b€A) } Find R?

Q: et A={1,2} and B={1,2,3} and define a relation R from A to B as follows: •Given any (x,y) element A…

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Q: Define a relation R on the set {1, 2, 3, 4} as follows: T = {(1, 4),(2, %3D 3),(2, 4),(4, 1),(2,…

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Q: . Draw the Hasse diagram of the relation R on A, where A = (1, 2, 3, 4}, and R = {(1, 1), (1, 2),…

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

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Consider the set Q = Z ×(Z 10), and the relation tupon QDefined as: (a, b) ↑ (c, d) e a·d=b·c a - d…

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Q: A relation * is defined on the set R-{0} by x * y if and only if xy > 0. For each of the following…

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Q: Define a relation R on the set J ={ 0, 1, 3, 4, ,5, 6 } as follows for all x, y E J x R y if and…

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Q: Which of the following definitions for the relation R (defined below) on A would constitute an…

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Q: Consider the family of sets S - [{1,5, 6), (2,4,6), (4,5, 6), (2,5, 6), (3,4, 5}, {1,4, 6}). (1.1)…

A: Consider S=1,5,6,2,4,6,4,5,6,2,5,6,3,4,5,1,4,6 and Y=1,3,4,5. The relation R on S is defined by…

Q: 2. Define a relation C from IR to IR as follows: For any (x, y) E IR x IR (x, y) EC means that x2 +…

A: We will use basic definitions of relation.

Q: Let R be a relation from A to B and S a relation from B to A. Prove or disprove that if S of R =…

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Q: Let A = {3, 5, 6), R relation on A defined by R= {(a, b) : a > b, a, b E A}. Write R. %3D O a.…

A: Given that: A set, A = {3,5,6}     R is a relation given by, R={(a,b): a&gt;b, a, b∈A}

Q: (4) Let A={0,1,2}. R is a relation defined on A as: V x.y E A, xRy 2|(x-y). Represent R using set…

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Q: Let A= {2,3,4} B=  {6,8,10} Define relation R from A to B as follows;For all X,y

A: Given- A=2,3,4 and B=6,8,10 To Find- The relation R from A to B follows, for ∀∈x,y

Q: 1. Consider the following relations defined on the set {a, b, c}. For each relation, determine…

A: (a) Reflexive functions are the ones whose domain and range are the same  for instance a,a∈R1 So…

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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