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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. The total number one-one function from a finite set with m elements to...

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  2. The number of bijective function from a set A to itself when A contain...

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

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  4. Find the domain of the functions:f(x)=log((12)/(x^2-x)) and f(x)=cos^(...

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  5. Let the binary operation on Q defined as a * b = 2a + b - ab, find 3*4...

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  6. If the binary operation ** on set of integers Z is defined as a**b=a+3...

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  7. Let * be a binary operation on set of integer. I defined by a**b=2a+b...

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  8. Let **:RtimesRrarrr is defined as a**b=2a+b Find(2**3)**4.

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  9. Let * is a binary operation on set of integers I defined by a**b=3a+4b...

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  10. Prove that for any f:X rarr Y , f o idx = f =idY of.

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

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

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  13. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

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  14. Show that the relation R defined on the set Z of all integers defined ...

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  15. Find least positive integer x, satisfying 276x+128=4 (mod 7).

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  16. Test whether the relations are reflexive, symmetric or transitive on t...

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  17. Test wheter relations are reflexive, symmetric or transitive on the se...

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  18. If R and S are two equivalence relation on the set then prove that Rca...

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  19. If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...

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  20. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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