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Show that the relation R in the set A of...

Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y): x andy have same number of pages} is an equivalence, relation.

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Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y) : x and y have same number of pages} is an equivalence relation.

Show that the relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number of sides} , is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4 and 5?

Show that the relation R defined in the set A of all polygons as : R = {(P_1, P_2) : P_1 and P_2 have same number of sides} is an equivalence relation.

Show that the relation R defined in the set A of all polygons as R = {(P_1, P_2): P_1 and P_2 have same numbers of sides} is an equivalence relation.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b) : |a - b| is a multiple of 4} is an equivalence relation.

Show that each of the relation R in the set A = {x in z : 0 le x le 12} , given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalec relation. Find the set of all elements related to 1 in each case.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b): a = b} are equivalence relations.

Show that each of the relation R in the set A = {x in Z : 0 le x le 12} , given by: R = {(a, b) : a = b} , is an equivalence relation. Find the set of all elements related to 1 in each case.

Show that relation R in Z of integers given by R = {x,y} : x - y is divisible by 5, x , y inZ } is an equivalence relation.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Check whether the relation R in R, defined by R= {(a, b): a le b^3 ) i...

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  2. Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)}...

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  3. Show that the relation R in the set A of all the books in a library of...

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  4. Show that the relation R in, the set A = {1, 2, 3, 4, 5} given by R={(...

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  5. Show that each of the relation R in the set A ={x in z : 0 le x le 12}...

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  6. Show that each of the relation R in the set A = {x in Z : 0 le x le 12...

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  7. Give an example of a relation. Which is: Symmetric but neither reflexi...

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  8. Give an example of a relation. Which is: Transitive but neither reflex...

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  9. Give an example of relation which is Transitive but niether reflexiv...

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  10. Give an example of relation which is Reflexive and transitive but no...

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  11. Give an example of a relation which is symmetric and transitive but no...

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  12. Show that the relation R in the set A of points in a plane given by R ...

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  13. Show that the relation R, defined by the set A of all triangles as : R...

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  14. Show that the relation R defined in the set A of all polygons as R = {...

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  15. Let L be the set of all lines in XY-pJane and R be the relation in L d...

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  16. Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), ...

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  17. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b...

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  18. Show that the function f : R* rarr R* defined by f (x) = 1/x is one...

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  19. Check the injectivity and surjectivity of the following function: f ...

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  20. Check the injectivity and surjectivity of the following function: f :...

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