Determine which of the folowing relations R on Z are oquivaknee relatinns. If R is not an equivakner relation, explain why. (a) a Rb if and only if ab>0 (b) aRb if and only if lal - M- (e) aRA if and only if ab > 0. (4) aR if and only if la

Q: If A = {1,2,3,4} give an example of a relation R on A that is: Reflexive and symmetric but not…

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Q: Let A = {1, 2, 3, 4}. Give an example of a relation on A that is:    (a) reflexive and symmetric,…

A: Let A=1,2,3,4. To give an example of a relation on A that is:  (a) reflexive and symmetric, but not…

Q: 2. Let R = {(x, y) = R x R = |x] + [y] =4}. Then R is a relation on R. Is R an equivalence relation…

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A: Given: R is the relation defined on P1,....,100 by A R B.           A∩B is even.We need to check…

Q: Define a relation on Z by aRb if and only if a divides b. Is R an equivalnce relation? Why or why…

A: To define a relation on the set of integers Z, denoted by "aRb," where "a" divides "b," we need to…

Q: Give an example of two equivalence relations R and S on the set A = {1, 2, 3} such that RUS is not…

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…

Q: B Let A = {(x,y) |x-yeQ for x, y = R} be a relation on K. Which statement best describes problem?…

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Q: . Define a relation R on Z as follows: a Rb if and only if 5 | (a²- 6²). Find four integers which…

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Q: Let R be a relation from A to B and S a relation from B to A. Prove or disprove that if S of R =…

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Q: Let R be a relation from A to B and S a relation from B to A. Prove or disprove that if S of R =…

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