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Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let...

Let `X = {1, 2, 3, 4, 5, 6, 7, 8, 9}`. Let `R_1` be a relation in X given by `R_1 = {(x, y) : x – y` is divisible by 3}` and `R_2` be another relation on X given by `R_2 = {(x, y): {x, y} sub {1, 4, 7}` or `{x, y} sub {2, 5, 8}` or `{(x, y} sub {3, 6, 9}`. Show that `R_1 = R_2`.

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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let R1 be a relation in X given ...

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  2. Determine whether the following relations are reflexive, symmetric an...

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  3. Determine whether the following relations are reflexive, symmetric an...

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  4. Determine whether the following relations are reflexive, symmetric an...

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  5. Prove that the following relation R in Z of integers is an equivalence...

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  6. Determine whether the following relations are reflexive, symmetric an...

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  7. Determine whether the following relations are reflexive, symmetric an...

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  8. Determine whether the following relations are reflexive, symmetric an...

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  9. Determine whether the following relations are reflexive, symmetric an...

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  10. Determine whether the following relations are reflexive, symmetric an...

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  11. Show that the relation R in the set R of real numbers, defined as R = ...

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  12. Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as ...

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  13. Show that the relation R in the set R of real numbers defined as R = (...

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  14. Check whether the relation R in R defined by R = {(a, b) : a le b^3} i...

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  15. Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2...

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  16. Show that the relation R in the set A of all the books in a library of...

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  17. Show that the relation in the set A = { 1 , 2, 3, 4, 5}, given by : R ...

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  18. Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2},...

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  19. Show that each of the relation R in the set A = {x in Z : 0 le x le 12...

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  20. Give an example of a relation. Which is: Symmetric but neither reflexi...

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  21. Give an example of a relation. Which is: Transitive but neither reflex...

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