**(i)** We are provided with the fact that,

A {1,2,3,4,6},R= {(a,b) : a,b ∈** **A,bis exactly divisible by a}

Using the conditions given in the problem, we get,

R {(1,1),(1,2),(1,3),(1,4),(1,6),(2,2),

(2,4),(2,6),(3,3),(3,6),(4,4),(6,6)}

And this is the roster form of the relation.

**(ii)** We are provided with the fact that,

A {1,2,3,4,6}, R= {(a,b) : a,b ∈** **A,bis exactly divisible by a}

We can clearly see, the domain of R is, {1,2,3,4,6}

(iii)

We are provided with the fact that,

A {1,2,3,4,6}, R= {(a,b) : a,b ∈** **A,bis exactly divisible by a}

And similarly, the range of R is, {1,2,3,4,6}

Answered by Abhisek | 1 year agoLet R = {(a, b) : a, b, ϵ N and a < b}.Show that R is a binary relation on N, which is neither reflexive nor symmetric. Show that R is transitive.

Let A = (1, 2, 3} and B = {4} How many relations can be defined from A to B.

Let R = {(x, x^{2}) : x is a prime number less than 10}.

**(i) **Write R in roster form.

**(ii)** Find dom (R) and range (R).

If A = {5} and B = {5, 6}, write down all possible subsets of A × B.