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List the members of the equivalence rela...

List the members of the equivalence relation defined by `{{1,2,3},{4}}` partitins on X={1,2,3,4}.Also find the equivalence classes of 1,2,3 and 4.

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ARIHANT PUBLICATION-RELATIONS AND FUNCTIONS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS ( Exercise 1 (a))
  1. Test wheter relations are reflexive, symmetric or transitive on the se...

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  2. List the members of the equivalence relation defined by {{1},{2},{3,4...

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  3. List the members of the equivalence relation defined by {{1,2,3},{4}} ...

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  4. List the members of the equivalence relation defined by {{1,2,3,4}} pa...

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  5. Show that if R is an equivalence relation on X, then Dom R = Rng R = X...

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  6. Given an example of a relation which is reflexive, symmetric but not...

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  7. Given an example of a relation which is reflexive, transitive but n...

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  8. Given an example of a relation which is symmetric, transitive but no...

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  9. Given an example of a relation which is reflexive but neither symmet...

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  10. Given an example of a relation which is transitive but neither refle...

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  11. Given an example of a relation which is an empty relation.

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  12. Given an example of a relation which is a universal relation.

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  13. Let R be a relation on X, If R is symmetric then xRy impliesyRx. If it...

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  14. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

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  15. Find the number of equivalence, relations on X ={1,2,3),

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  16. Let R be the relation on the set R of real numbers such that aRb iff a...

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  17. Find the least positive integer r such that 185 in [r]7

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  18. Find the least positive integer r such that -375 in [r]11

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  19. Find the least positive integer r such that -12 in [r]13

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  20. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

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