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 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. What is the set of all elements in A related to the right angle triangle T with sides 3,4 and 5 ?

Relation R on Z defined as R = {(x ,y): x - y "is an integer"} . Show that R is an equivalence relation.

Show that 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 equivalence relation.

Solve that the relation R in the set z of intergers given by R={(x,y):2 divides (x-y)} is an equivalence relation.

Prove that the relation R in the set of integers Z defined by R = {(x,y) : x - y. is an integer) is an equivalence relation.

Prove that the relation R in the set of integers z defined by R = { ( x , y) : x-y is an integer } is an equivalence relation.

Show that 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 equivalence relation.

Show that the relation R in the set of all integers, Z defined by R = {(a, b) : 2 "divides" a - b} is an equivalence relation.