Let A = {3, 4, 5, 6} and R = {(a, b) : a, b ϵ A and a

(i) Write R in roster form.

(ii) Find: dom (R) and range (R)

(iii) Write R–1 in roster form

Asked by Aaryan | 11 months ago |  179

##### Solution :-

(i) R = {(3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)}

(ii) The domain of R is the set of first co-ordinates of R

Dom(R) = {3, 4, 5}

The range of R is the set of second co-ordinates of R

Range(R) = {4, 5, 6}

(iii) R–1 = {(4, 3), (5, 3), (6, 3), (5, 4), (6, 4), (6, 5)}

Answered by Sakshi | 11 months ago

### Related Questions

#### Let R = {(a, b) : a, b, ϵ N and a < b}.Show that R is a binary relation on N

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

#### Let R = {(x, x2) : x is a prime number less than 10}.

Let R = {(x, x2) : x is a prime number less than 10}.

(i) Write R in roster form.

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