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Give an example of a relation which is symmetric and transitive but not reflexive.

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Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : Symmetric and transitive but not reflexive.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Give an example of relation which is Transitive but niether reflexiv...

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  2. Give an example of relation which is Reflexive and transitive but no...

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

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

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

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

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  7. Let L be the set of all lines in XY-pJane and R be the relation in L d...

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

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

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

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  11. Check the injectivity and surjectivity of the following function: f ...

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  12. Check the injectivity and surjectivity of the following function: f :...

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  13. Check the injectivity and surjectivity of the following function: f :...

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  14. Check the injectivity and surjectivity of the following function: f ...

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  15. Check the injectivity and surjectivity of the following function: f ...

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  16. Prove that greatest integer function f: RrarrR, given by f (x) = [x], ...

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  17. Prove that Modulus Function f: R rarr R given by : f(x) = | x | is nei...

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  18. Show that the signum function f : R to R given by: f(x) = {{:(1, if ...

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  19. Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6...

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  20. In the following case, state whether the function is one-one, onto or ...

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