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Given the relation R = {(1, 2), (2, 3)} ...

Given the relation R = {(1, 2), (2, 3)} on the set of natural numbers, add a minimum of ordered pairs so that the enlarged relation is symmetric, transitive and reflexive.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Show that R= {(a, b): a ge b} is reflexive and transitive but not sym...

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  2. Let A be the set of human beings living in a town at a particular time...

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  3. Given the relation R = {(1, 2), (2, 3)} on the set of natural numbers,...

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

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

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  6. Is inclusion of a subset in another, in the context of a universal set...

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  7. If R is a relation in N xx N, show that the relation R defined by (a, ...

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  8. If R is the relation in N xx N defined by (a, b) R (c,d) if and only i...

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  9. Show that the relation R defined by (a, b) R(c,d)implies a+d=b+c in...

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  10. Each of the following defines a relation R in N. x R y if xy is squa...

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  11. Each of the following defines a relation R in N. x R y if xy is squa...

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  12. Each of the following defines a relation R in N. x R y if xy is squa...

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  13. Each of the following defines a relation R in N. x R y if xy is squa...

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  14. Let R1 and R2 be two relations defined on a non-empty set A. Which of ...

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  15. Let R and S be two non-void relations on a set A. Which of the followi...

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  16. Let R and S be two non-void relations on a set A. Which of the followi...

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  17. Let R and S be two non-void relations on a set A. Which of the followi...

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  18. Let R1 and R2 be two relations defined on a non-empty set A. Which of ...

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  19. Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let R1 be a relation in X given ...

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  20. Let A = {1,2,3}. Then show that the nmber of relations (1,2) and (2,3)...

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