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Test whether, R2 on Z defined by (a ,\ b...

Test whether, `R_2` on `Z` defined by `(a ,\ b) in R_2<=>|a-b|lt=5` is (i) reflexive (ii) symmetric and (iii) transitive.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. R={(b , c)} is defined on set A={a ,\ b ,\ c} . Find whether or not it...

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  2. Test whether, R1 on Q0 defined by (a ,\ b) in R1<=> a=1//b is (i) ref...

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  3. Test whether, R2 on Z defined by (a ,\ b) in R2<=>|a-b|lt=5 is (i) re...

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  4. Test whether, R3 on R defined by (a ,\ b) in R3<=> a^2-4\ a b+3b^2=0 ...

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  5. Find whether or not R1={(1,\ 1),\ (1,\ 3),\ (3,\ 1),\ (2,\ 2),\ (2,\ 1...

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  6. Find whether or not R2={(2,\ 2),\ (3,\ 1),\ (1,\ 3)} , on A={1,\ 2,\ 3...

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  7. Find whether or not R3={(1,\ 3),\ (3,\ 3)} , on A={1,\ 2,\ 3} is (i) r...

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  8. a R b if a-b >0 is defined on the set of real numbers, find whether...

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  9. a R b iff 1+a b >0 is defined on the set of real numbers, find whet...

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  10. a R b if |a|lt=b is defined on the set of real numbers, find whethe...

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  11. Check whether the relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\...

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  12. Check whether the relation R on R defined by R={(a ,\ b): alt=b^3} is ...

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  13. Prove that every identity relation on a set is reflexive, but the c...

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

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

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

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  17. Let R be a relation defined on the set of natural numbers N as R={(...

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

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  19. An integer m is said to be related to another integer n if m is a mult...

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  20. Show that the relation "geq" on the set R of all real numbers is refle...

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