Determine which of these relations are transitive. The variables x, y, x', y' represent integers. A. x∼yx∼y if and only if xyxy is positive. B. x∼yx∼y if and only if x+yx+y is positive. C. (x,y)∼(x′,y′)(x,y)∼(x′,y′) if and only if x−y=x′−y′x−y=x′−y′.

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A: The number of relations on a set of n elements is given by 2n2.

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A:

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

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Q: 9.5. For the relation R= {(1,1),(1,2) , (1, 3) , (2, 2) , (2, 3) , (3, 3)} defined on the set {1,…

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Q: Determine which of these relations are transitive. The variables x, y, x', y represent integers. A.…

A: Note: As multiple questions have been posted, so only A is solved according to QnA guidelines.…

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A:

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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:

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

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A: This is a composition of functions.

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Q: II.5 Determine whether relation R on the set of all real numbers is reflexive, symmetric,…

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Q: 1. Let X = {1,2,3} and let R = {(1, 3)(1,2),(2, 3)}. Find the domain and range ofR. 2. Let R be a…

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Q: Find the power set of A= {{ }, 1, {b}, 4 } and write how many relations can be defined on A

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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: 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…

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Q: y) ∈ R mean

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Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

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}

A:

Q: 8. Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

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