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

Let R be the relation on Z defined by aRb if and only if a -b is an even integer. Find : domain of R.

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Let R be the relation on Z defined by aRb if and only if a -b is an even integer. Find : R.

Let R be the relation on Z defined by aRb if and only if a -b is an even integer. Find : range of R.

Let R be the relation on Z defined by R = {(a,b ): a, b in Z, a-b is an integer}. Find the domain and range of R.

Let A = (2,3,4,5,6,7,8,9). Let R be the relation on A defined by (x,y):x in A, y in A and x divides y .Find domain of R

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

Consider the set A = {1,2,4,5,7,9,10}. Defie the relation R on A as "aRb if an only if a-b is an even number". Then find the domain and range of R.

If l is the set of integers and if the relation R is defined over l by aRb, iff a - b is an even integer, a,b inl , the relation R is: (a) reflexive (b) anti-symmetric (c) symmetric (d) equivalence

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If R is a relation in N xx N , show that the relation R defined by (a, b) R (c, d) if and only if ad = bc is an equivalence relation.

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Which of the following graphs of relations defines a transitive relati...

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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 aRb if and only if a -b is an ev...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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