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Show that the relation R in the set {1,2...

Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

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The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is not symmetric.

Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2), (1, 2)} is transitive but neither reflexive nor symmetric.

Show that the relation R in the set R given by : R ={(x, y): x le y^2) is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R given by : R ={(p, q): p le q^2) is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R given by, R = {(a, b): a≤b^2} neither reflexive nor symmetric nor transitive.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive.

State the reason for the relation R, in the set {1,2,3} given by R= {(1,2), (2, 1), not to be transitive.

A relation R on A={1,2,3} given by R={1,2), (1, 2), (3, 3)} is not symmetric. Why?

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Show that the relation R in the set R of real numbers defined as R = {...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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