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Show that the relation R in the set R of...

Show that the relation R in the set R of real numbers defined as : `R = {(a,b) : a le b^2)` is neither reflexive nor symmetric nor transitive.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Determine whether each of the following relations are reflexive, symme...

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  2. Determine whether each of the following relations are reflexive, symme...

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  3. Show that the relation R in the set R of real numbers defined as : R =...

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  4. Check whether the relation R defined in the set {1, 2,3,4, 5, 6} as R ...

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  5. Show that the relation R in the set R of real numbers defined as R = {...

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  6. Check whether the relation R in R, defined by R= {(a, b): a le b^3 ) i...

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  7. Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)}...

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  8. Show that the relation R in the set A of all the books in a library of...

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  9. Show that the relation R in, the set A = {1, 2, 3, 4, 5} given by R={(...

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  10. Show that each of the relation R in the set A ={x in z : 0 le x le 12}...

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  11. Show that each of the relation R in the set A = {x in Z : 0 le x le 12...

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  12. Give an example of a relation. Which is: Symmetric but neither reflexi...

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  13. Give an example of a relation. Which is: Transitive but neither reflex...

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  14. Give an example of relation which is Transitive but niether reflexiv...

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

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

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

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

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

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

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