Let S={1,2,3} and T={-2,-1,0}. Define a relation R from S to T as follows: For all (x,y) in SxT, (x,y) is in R means that (x-y)/3 is an integer.   Which of the following statements is TRUE for the relation R?: a. The relation R is a function b. The relation R is not a function

Q: In a high school graduation class, (x,y) is in the relation r if person x is the same height as…

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Q: Let A — {1, 2, 3, 4} and B — {5, 6, 7}, and let f be the relation f = {(1, 5), (2, 5), (3, 6), y)}.…

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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…

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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 ℝ+ denote the set of positive real numbers. Define a relation E on ℝ+ as follows: a E b  if and…

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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 = {d, e, f} and B = {0, 1} Define a relation as follows: ARB = {(d, 1), (f,0)} Select the…

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Q: The domain of the relation L is the set of all real numbers. For x, y e R, rLy if r < y.

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Q: For the relation, indicate whether the relation is: • Reflexive, anti-reflexive, or neither •…

A: A relation R defined on a set S is said to be Reflexive if xRx for all x in S.  Anti reflexive  if…

Q: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

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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: 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.