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Check whether the relation R in R define...

Check whether the relation R in R defined by R = {(a, b) : a le b^3} is reflexive, symmetric or transitive.

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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as ...

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

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

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

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

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

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

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

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

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

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  11. Give an example of a relation. Which is: Reflexive and symmetric but n...

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  12. Give an example of a relation which is reflexive and transitive but no...

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  13. Give an example of a relation which is symmetric and transitive but no...

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  14. Show that the relation R in the set A of points in a plane given by R ...

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  15. Show that the relation R, defined by the set A of all triangles as : R...

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  16. Show that the relation R defined in the set A of all polygons as R = {...

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  17. Let T be the set of all triangles in a plane with R a relation in T gi...

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  18. Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (...

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  19. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b...

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  20. Show that the function f : R* rarr R* defined by f (x) = 1/x is one...

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