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If R is the relation in N xx N defined b...

If R is the relation in `N xx N` defined by (a, b) R (c,d) if and only if (a + d) =(b + c), show that R is an equivalence relation.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Is inclusion of a subset in another, in the context of a universal set...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Which of the following relations are functions form A = (1,3,5,7,9) to...

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  17. Which of the following are the functions of RNA?

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  18. Which of the following functions are odd or even or neither : f(x)=|...

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  19. Which of the following are the functions of RNA?

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  20. Which of the following functions are not derivable at x=0?

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