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 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.

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

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

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

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

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

Let n be a positive integer. Prove that the relation R on the set Z of all integers numbers defined by (x , y) in R iff x-y is divisible by n , is an equivalence relation on Z.

Let n be a positive integer. Prove that the relation R on the set Z of all integers numbers defined by (x , y) in R iff x-y is divisible by n , is an equivalence relation on Z.

Let n be a positive integer. Prove that the relation R on the set Z of all integers numbers defined by (x , y) in R iff x-y is divisible by n , is an equivalence relation on Z.