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Let R be the relation on Z defined by : ...

Let R be the relation on Z defined by : `R ={(a,b) :a in Z,b in Z, a^2 =b^2}`. Find : R.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Let R be the relation on Z defined by aRb if and only if a -b is an ev...

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  2. Let R be the relation on Z defined by aRb if and only if a -b is an ev...

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  3. Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 ...

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  4. Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 ...

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  5. Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 ...

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  6. Let A = {1, 2, 3, 4, 5} and B = {2, 4, 6, 8, 10}. Let R = {(a, b): a i...

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

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

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  9. Determine the domain and range of the following relation : {(1,2), (1,...

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  10. Determine the domain and range of the following relation : {(x,y): x i...

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  11. Determine the domain and range of the following relation : {(x,y): x i...

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  12. Determine the domain and range of the following relation : {(x,y): y =...

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  13. Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into ...

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  14. Show that the relation ‘is perpendicular to' on the set A of all copla...

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  15. Show that R= {(a, b): a ge b} is reflexive and transitive but not sym...

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  16. Show that the relation ‘is a factor of’ on the set N of all natural nu...

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  17. Let A = {1, 2, 3, .........., 14}. Define a relation R from A to A by ...

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

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  19. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

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  20. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

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