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Mark the following as true (T) or false (F). `phi` is a relation from set A to set B.

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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
  1. Let A={1,2,3}, B={4,5}. Determine all relations from A to A.

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  2. Let A={1,2,3}, B={4,5}. Determine all relations from B to B.

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  3. Mark the following as true (T) or false (F). phi is a relation from se...

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  4. Mark as true (T) or false (F). AtimesB is a relation from A to B

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  5. Mark as true (T) or false (F). phitimesphi is a relation from A to B

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  6. Mark as true (T) or false (F). A relation cannot be both symmetric ad ...

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  7. Mark as true (T) or false (F). For any equivalence relation R on a set...

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  8. Mark as true (T) or false (F). The relation R={(1,1),(2,2),(3,3)} on t...

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  9. What is the total number of relations from a set A to set B, where abs...

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  10. What is the partition of the set {1,2} induced by the equivalence rela...

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  11. Let R={(x,y):xlty,x,yinN}. Check if R is reflexive, symmetric or trans...

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  12. If a relation is symmetric and transitive on any non-empty set, then i...

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  13. Let R be a relation in the set of natural numbers N defined by xRy if ...

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  14. Write true or false in the following with reason or by suitable exampl...

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  15. Write true or false in the following with reason or by suitable exampl...

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  16. Compute the following remainder function. r3(185)

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  17. Compute the following remainder function. r6(-500)

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  18. Mark as true (T) or false (F). The function f:Rrightarrow[-1,1] define...

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  19. Mark as true (T) or false (F). The function f:RrightarrowR defined by ...

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  20. Mark as true (T) or false (F). The greatest integer function is not on...

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