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Show that the two sets {1, 2, 3,…….} and...

Show that the two sets {1, 2, 3,…….} and {3, 4, 5, ……..} are equivalent.

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SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Write relations in tabular form and determine their type for R={(x,y):...

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  2. Sets A and B have respectively m and n elements. The total number of r...

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  3. Show that the two sets {1, 2, 3,…….} and {3, 4, 5, ……..} are equivalen...

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

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

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

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

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  9. Is varphi an equivalence relaiton on any set?

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

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

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

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

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

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

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

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

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

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

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

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