In the set W of whole numbers an equivalence relation R is defined as follows : aRb iff both a and b leave the same remainder when divided by 5. The equivalence class of 1 is given by

On the set N of all natural numbers,a relation R is defined as follows: nRm Earh of the natural numbers n and m leaves the same remainder less than 5 when divided by 5. Show that R is an equivalence relation.Also, obtain the pairwise disjoint subsets determined by R.

On the set N of all natural numbers, a relation R is defined as follows: n R m Each of the natural numbers n and m leaves the same remainder less than 5 when divided by 5. Show that R is an equivalence relation. Also, obtain the pairwise disjoint subsets determined by R .

On Z, a relation R is defined as follows: a,b in Z, aRb if a divides b, Then

Let A be the set of all student in a school. A relation R is defined on A as follows: ''aRb iff a and b have the same teacher'' The relation R, is

Let A be the set of all student in a school. A relation R is defined on A as follows: ''aRb iff a and b have the same teacher'' The relation R, is

Let S be the set of real numbers. For a, b in S , relation R is defined by aRb iff |a-b|lt 1 then R is

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

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

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: