Let A = {1, 2} and let B = {2, 4, 7}. Let R be a relation defined as follows: (x, y) = R means that statement is true or false. (1, 4) E R O True (1, 2) R O True 2R7 OTrue O False False False 2R4 OTrue O False (2, 2) = A x B but (2, 2) #RO True False x + y z+y 2 is an integer. Indicate if the

Q: Given the set A- {a, b, c, d} a) If this is the relation R= {(a, b), (b, d)} Show s(R). b) If this…

A: Given R=a,b,b,d. The Symmetric closure of R denoted by sR=R∪R-1, where R-1 is the inverse of the…

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: For positive integers a, b, c, if a|6 and 6|c, then a c. O True O False

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

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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: Let R = {(x, y) ∣ x ≥ y} be a relation from set A = {6} to B = {5,7}. a. List the order pairs of…

A: Given,          R=x,y/x≥y          Set A=6          Set B=5,7

Q: disprove: a relation that is symmetric and transitive must TProve also be reflexive. or

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Q: 8. Let S = {(a, b), (b, a), (b, d), (b, e), (b, f), (c, c), (d, e), (f,c), (f, f)} be a relation on…

A: INTRODUCTION: A set of ordered pairs is a pair of components that appear in a specific order and are…

Q: If P(A)=p, P(A|B)=q, P(B|A)=r and A,B are mutually exclusive then what is the relation between p,q…

A: Let A and B be two events which are mutually exclusive. The probability that event B occurs provided…

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: 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: Which of the following relations contain cach of the following pairs (1, 1), (1, 2), (3, 2), and…

A:

Q: 11. Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether…

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Q: ii. Determine whether the relation, R = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)} is: Yes/No…

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Q: Compute the complement of relation R. R={(1, 1), (5, 1), (5, 5), (6, 1), (6, 6), (7, 1), (7, 7)}

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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: The R is the relation from {1, 2, 3} to {1, 2, 3, 4} with R = {(1, 1), (1, 2), (2, 3), (3, 4), (3,…

A: Here,  R=1,1,1,2,2,3,3,4S=1,0,2,1,3,2,3,0,4,1

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: Let X = {1, 2, 3, 4}. Let R = {(1, 3), (2, 1), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (a, b) },…

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Q: The relation R= {(1,1),(1,4),(2,3),(2,4),(3,1),(3,4)} on the set {1,2,3,4} is : Select one: O a. not…

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Q: R= {(0, 1), (0, 2), (2,0), (2, 3), (4, 4), (2, 4), (3, 3), (1, 2), (1,3), (3 Evaluate dom(R),…

A: let R be the relation defined by…

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: Let A = {1, 2, 3, 4, 5} and R be the relation defined by R = {(1,1), (2,2), (2,4), (2,5),…

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Q: B. By determining whether each relation on the set A = {1,2,3,4} possesses the types of relation in…

A: given set A=1,2,3,4 claim- by determining whether each relation on the set A possesses the types of…

Q: (9) Consider the relation R on the set {1,2,3,4,5) given by R= {(1,1), (2, 2), (3, 2), (1, 3),…

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Q: 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),…

A: Hence, if R be the relation   R={(1, 2),(1, 3),(2, 3),(2, 4),(3, 1)} and S be the relation S={(2,…

Q: B. By determining whether each relation on the set A = {1,2,3,4} possesses the types of relation in…

A:

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>b, a, b∈A}