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Let R and S be two relations on a set A....

Let R and S be two relations on a set A. If
(iii). R and S are both transitive on A prove that R `cap` S is transitive but R `cup` S is not necessarily transitive on A.

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CHHAYA PUBLICATION-RELATIONS-Short Answer Type Questions
  1. A relation R is defined on the set of integers Z Z as follows R= {(x...

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  2. A relation R is defined on the set of all integers Z Z follows : (x,...

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

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  4. Let O be the origin. We define a relation S between two points P and Q...

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  5. A relation S is defined on the set of real numbers R R a follows: S=...

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  6. On a given set AA define the smalest and the large equivalence relatio...

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  7. A relation S is defined on the set of real numbers R R a follows : S...

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  8. Let A={ a,b,c} be a given set. Define a relation on A which is : (i...

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  9. Let A={ a,b,c} be a given set. Define a relation on A which is : re...

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  10. Let A={ a,b,c} be a given set. Define a relation on A which is : tr...

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  11. Let A={ a,b,c} be a given set. Define a relation on A which is : re...

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  12. Let A={ a,b,c} be a given set. Define a relation on A which is : sy...

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  13. Let A={ a,b,c} be a given set. Define a relation on A which is : tr...

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  14. Let A={ a,b,c} be a given set. Define a relation on A which is : ne...

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  15. Let A={ a,b,c} be a given set. Define a relation on A which is : a...

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  16. A relation R is defined on the set of natural numbers NN as follows : ...

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  17. Let R and S be two relations on a set A. If (i) R and S are both sym...

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  18. Let R and S be two relations on a set A. If (ii) R is reflexive and ...

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  19. Let R and S be two relations on a set A. If (iii). R and S are both ...

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  20. A relation R is defined on the set N N of natural as follows : (x,y)...

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