Enter an example of an equivalence relation R on the set X = {0, 1, 5, 6, 8} such that all of the following are true: (5,0) = R; (8,6) # R; |[1] R = 2. ● ●

Q: Let A = { 2, 3, 4 } and B = { 6, 8, 10, 12 } and define a relation R from A to B as follows: %3D For…

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Q: Give a specific reason why the following set R does not define an equivalence relation on the set…

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Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.  A relation defines the…

Q: Indicate whether the relation is: •Reflexive, anti-reflexive, or neither •Symmetric,…

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Q: A = {5,6} B = {5, 7 ,8} S = {n | n >= 3 is an odd integer} A relation R from AxB to S is defined…

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Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: Let R and S be relations defined on the set of {9,3, 1,0}. R = {(1,1), (9, 3), (1,3), (9,0)}. S =…

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Q: Define two relations R, and R2 on set positive integers. R1 = {(a,b) | a > b} and R2= {(a,b)| a² = b…

A: Given that two relations R1 and R2 on the set of positive integers.                    R1=(a,b) |…

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: R is a relation on set of integers (Z) and it is given by Then, R is (x, y) = R⇒ |x − y| ≤ 1.…

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Q: Consider the relation R = {(1,1);(2,3);(3,5);(4,7)}. a. Prove that R is a function from {1,2,3,4}…

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