Define a binary relation on the set S=(-3, -2, -1, 1, 2, 3} as follows: R= {(a,b) ab>0} %3D a. Find three different ordered pairs in R. b. List all three properties of an equivalence relation and state whether each is satisfied or not by this relation R Use specific ordered pairs a eumpierto

Q: (3) Let S be the equivalence relation on (0, 1, 2, 3} x {0, 1, 2} defined by (a, b)S(c, d) if and…

A: S=0,1,2,3×0,1,2=0,0;0,1;0,21.0;1,1;1,22.0;2,1;2,23.0;3,1;3,2

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A: Given that, The set B is: B=a, b, a, b, a, b And, the set P is: P=a, b, b, a, b, a, b, a, b, a, a, a

Q: Determine whether the following relation is an equivalence relation? R= {(a, a), (a, c), (c, a), (b,…

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Q: 4. Let R be a relation defined on the set of integers by a R b if a +b = 0 or a – b = 0. Determine…

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Q: artial order relation but not a e, cTd, aTe and eTd. ersi diagram for each possible rela

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Q: binary relation R is defined on the set of real numbers by xRy ⇔ lx - yl ≤ 1. Determine whether or…

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Q: set {(a,b),(a, a), (c, a), (b, b)} (a). Let X = {a,b,c} be sets. is a relation on X and find its…

A: Answer and explanation is given below..

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Q: 1, Let R be the relation defined on the set A = {1, 2, 3, 4, 5, 6,} Such that aRb means a+2 <= b.…

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A: I am going to solve the given problem by using some simple algebra to get the required result.

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Q: Exercise 17.2.18. Find binary relations on {1,2,3} that meet each of the following conditions.…

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Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

Q: 4. Let R be the relation xRy if 3| (x – y) on Z. Prove that R is an equivalence relation.

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A: 6 Given set is A=1,2,3. Consider the relation R and S on A is given by  R=1,1,2,2,3,31,2,2,1 And…

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