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Let A={1,2,3} and let R(1)={(1,1),(1,3...

Let `A={1,2,3}` and let
`R_(1)={(1,1),(1,3),(3,1),(2,2),(2,1),(3,3)}`
`R_(2)={(2,2),(3,1),(1,3)}`
`R_(3)={(1,3),(3,3),R_(4)=AxxA`
Find whether or not each of the relations `R_(1),R_(2),R_(3),R_(4)`, on A is
(a) reflexive (b) symmetric
(c) transitive

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ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (2) (RELATIONS)
  1. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  2. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  3. Let A={1,2,3} and let R(1)={(1,1),(1,3),(3,1),(2,2),(2,1),(3,3)} R...

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

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  5. Given the relation R={(1,2) (2,3)} on the set A={(1,2,3)} the minimum ...

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  6. Let R={(a,a),(b,c),(a,b)} be a relation on a set A={a,b,c}. Then the m...

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  7. Is it true that every relation which is symmetric and transitive is...

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  8. Let a relation R be defined by R={(4,5),(1,4),(4,6),(7,6),(3,7)}. Fi...

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  9. Let a relation R be defined by R={(4,5),(1,4),(4,6),(7,6),(3,7)}. Fi...

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  10. If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R...

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  11. If X={1,2,3,4,5)andY={1,3,5,7,9}, determine which of the following are...

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  12. Let A be the set of first ten natural nnumbers and let R be relation o...

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  13. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

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  14. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

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  15. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

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  16. Let R be a relation from a set A\ to a set B, then R=AuuB b. R=AnnB ...

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  17. Let A=(1,2,3,4}, and let R={(2,2),(3,3),(4,4),(1,2)} be a relation on ...

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  18. If A={a,b,c,d},B=(p,q,r,s), then which of the following are relations ...

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  19. A relation R is defined on the set Z of integers as: (x ,y) in R x^2...

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  20. Let R be a relation on I (the ste of integers) defined as m R n (m,nin...

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