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Show that if R is an equivalence relatio...

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

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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Show that the two sets {1, 2, 3,…….} and {3, 4, 5, ……..} are equivalen...

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  2. Test whether the relation : R = {(m, n):2|(m+n)} on ZZ is reflexive, ...

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

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  4. If R={(a, a^(3)): a is prime number less than 5} be a relation. Find t...

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

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  6. Let R is the equivalence in the set A = {0, 1, 2, 3, 4, 5} given by R ...

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  7. Is varphi an equivalence relaiton on any set?

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  8. If A={1, 2, 3, 4, 5} and R:ArarrA is {(1,2), (2,3), (4,5), (3,3)} then...

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  9. What is the range of the function f(x)=(|x-1|)/(x-1), x ne 1?

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  10. State the reason for the relation R in the set {1, 2, 3} given by R ={...

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  11. If R={(x, y): x +2y =8} is a relation on N, then write the range of R.

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  12. If a set A has n elements and another set B has m elements, what is th...

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  13. If a set A has n elements and another set B has m elements, what is th...

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  14. Write the relation R={(x,x^3):x is a prime numeber less than 10} is ro...

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  15. Let A={1,2}, B={1,2,3,4}: Write down the elements of AxxB.

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  16. Let A={1,2}, B={1,2,3,4}:How many relations will be there from A to B.

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  17. If A={1, 2, 3, 4, 5, 6} and a relation R on A is defined by R={(a, b):...

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  18. Let A={1, 2, 3, 5}, B={4, 6, 9}, A relation R form A to B is defined b...

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  19. Write the equivalence class [3]7 as a set.

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  20. Find [2](10)cap[1](13)

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