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Write the following relation as the sets...

Write the following relation as the sets of ordered pair: A relation R on the set {1,2,3,4,5,6,7} defined by (x,y)∈R⇔x is {1,2,3,4,5,6,7} defined by (x,y)∈R⇔x is relatively prime to y.

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Given as `(x,y)∈R⇔x is {1,2,3,4,5,6,7} `
Since, 2 is the co-prime to 3, 5 and 7.
3 is the co-prime to 2, 4, 5 and 7.
4 is the co-prime to 3, 5 and 7.
5 is the co-prime to 2, 3, 4, 6 and 7.
6 is the co-prime to 5 and 7.
7 is the co-prime to 2, 3, 4, 5 and 6
`R={(2,3),(2,5),(2,7),(3,2),(3,4),(3,5),(3,7),(4,3),(4,5),(4,7),(5,2),(5,3),(5,4),(5,6),(5,7),(6,5),​ ...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
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  2. Find the inverse relation R^(-1) in the following case: R is a rela...

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  3. Write the following relation as the sets of ordered pair: A relation ...

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  4. Write the following relation as the set of ordered pair: A relation R ...

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  5. Write the following relation as the set of ordered pair: A relation R ...

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  6. Write the following relation as the set of ordered pair: A relation R ...

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  7. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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  8. Let A="{"1,2"]"a n d\ B={3,4} . Find the total number of relations fro...

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  9. Determine the domain and range of the relation R defined by: R={(x , x...

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  10. Determine the domain and range of the relation R defined by: R={(a , b...

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  11. Let A={x ,\ y , z}n d\ B={a , b} . Find the total number of relations ...

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  12. Let R be a relation from N to N defined by R = {(a , b) : adot b in ...

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  13. Let A={1,2,3ddot, 14} . Define a relation on a set A by R={(x , y):3x-...

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  14. Define a relation R on the set N of natural numbers by R={(x , y): y=x...

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  15. Let A={1,2,3,5} B={2,4,9} .Define a relation. from A to B by R= ...

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  16. Write the relation R={(x , x^3): x is a prime number less than 10} in ...

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  17. Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b):...

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  18. Figure 2.15 shows a relationship between the sets P\ a n d\ Q . Write ...

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  19. Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is ...

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  20. Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ f...

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