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 and only if that x - y > 2. Is 3 S 4 ?          Is 7 S 3 ?          Is (8, 7) ∈ S ? Write S as a set of ordered pairs.

Q: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х,…

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Q: Let A={3,4,6,7}, and define a relation R on A as follows: For every x, y belong to A, xR y x|y.…

A: We first write elements of R then we form diagraph and then we write the corresponding adjacency…

Q: Let B = {a, b, c}and S is the relation on B such that S3 (а, a), (а, b), (b, с), (а, с), (с, с).…

A: Given the set B={ a,b,c } and the relation S on B such that S={(a,a),(a,b),(b,c),(a,c),(c,c)}

Q: Let A = {1,2} and B = {1,2}. Which of the following gives a relation satisfying the condition that…

A: Topic = Algebra 'd' gives a relation satisfying the given condition.

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: 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: 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: Let {2,3,4}{2,3,4} and {8,9,10}. Define a relation H from A to B such that (x,y) ∈ H if and only if…

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Q: Let A be the set of all strings of 0's, l's, and 2's of length 4. Define a relation R on A as…

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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: Define a relation R, on the set A = (0, 1, 2, 3) as follows. R, = {(0, 0), (0, 1), (1, 1), (1, 2),…

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Q: Let A = {3,4,5,6} and B = {1,2,3} and define a relation R: A → B as follows: For all (x, y) ∈ A × B,…

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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 X = {1, 2, 3, 4}. Determine whether each relation on X is a function from X into X. (a) f = {(2,…

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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: Let {2,3,4}{2,3,4} and {8,9,10}{8,9,10}. Define a relation H from A to B such that (x,y) ∈ H if and…

A: Given that:                      A={2,3,4}B={8,9,10}H is an relation from A to B such that: (x, y)∈H…

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

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Q: Let A={1,2,3,4} and R a relation on A such that A/R={{1},{2},{3,4}}. Then the number of ordered…

A: Given problem is : Let A={1,2,3,4} and R a relation on A such that A/R={{1},{2},{3,4}}. Then the…

Q: on  B on the set A = {1, 2, 3, 4}: It is defined as,                          xBy ⟺  x|y

A: The relation β on set A={1,2,3,4} is defined as  xβy↔x/y this means that β has elements such that…

Q: Let A= {2, 4} and B = {2, 4, 6} and define a relation R for A to B as follows: Which ordered pairs…

A: A=2,4 and B=2,4,6a,b element A×B, a,b∈R means that a+b is an integer

Q: Let A = {9, 11, 12, 14} and B = {1, 2, 3, 4} and define a relation R: A → B as follows: For all…

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Q: 14. Let A = {9, 11, 12, 14} and B = {1, 2, 3, 4} and define a relation R: A →B as follows: For all…

A: Given sets  A={9,11,12,14} and  B={1,2,3,4}  The relation R from A to B is defined by ,…

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: 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: 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: Let X = {a, b, c}. Define a relation J on P(X) as follows: For all sets A and B in P(X), AJB A ANB #…

A: a) No  b) Yes  c) Yes

Q: et S ⊆ N, and for any a, b ∈ N, consider a relation R such that aRb if and only if there exists c ∈…

A: This is the problem of Relation.

Q: Let {2,3,4} {2,3,4} and {8,9,10} {8,9,10}. Define a relation H from A to B such that (x,y)∈H(x,y)∈H…

A: Given A={2,3,4} B={8,9,10}

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: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х,…

A: Since you have posted multipart question and we can answer three subparts. So, answering the first…

Q: 4. Let G = {-2, 0, 2} and H = {4, 6, 8} and define a relation V from G to H as follows: For all (x,…

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Q: (3) Let A={1,3,5,7}, B={0,4,8}. Define the relation R as: For all x E A and y E B, xRy , if and only…

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Q: 2. Let A={1, 2, 3, 4, 5, 6} and let R be a relation on A defined as follows: Va,be A, (a,b)…

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Q: 10 Let A={4,5,6,7,8,9,10,11,12,13} and define a relation S on A as follows xS y → 4|(x-y) (a) Is…

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Q: Let A={1,2,3} and B={-2,-1,0}. Define a relation R from S to T as follows: For all (x,y) in AxB,…

A: We will find out the required values.

Q: Let Z be the set of all integers and R a relation on Z defined R= {(x,y) E Z × Zx = y +1}.Which of…

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Q: Let R be the relation on R defined by Ry if and only if ry 1. Thus R can also be represented as (r,…

A: (a) Obtain the composite relation as follows.

Q: Let E =(1, 2, 3} and F = {-2, -1, 0} and define a relation T from E to F as follows: For all (x, y)…

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

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

A: Given   A = {6, 8, 10, 15, 17};  B = {2, 3, 4, 5}; relation R: A → B  ordered pairs of A and B that…

Q: Let A= {5,6,7,8,9,10} and define a relation S on A as follows xSy 2|(x-y) (a) Is 5S6? Why? (b) Is…

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Q: Let A be a nonempty set and let P be a partition of A. Define a relation R (corresponding to P) on A…

A: Given, A=1,2,3 We can write the above set as, 1,2,3×1,2,3=1,1,,1,2,1,3,2,1,2,2,2,3,3,1,3,2,3,3

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: (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: 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: Let R be a relation on the set A = {1,2,3,4,5, 6} defined by R = {(a,b) E A x A| a + b < 9}. a. List…

A: A ={1,2,3,4,5,6}

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…