Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y): y = x + 1}. (i) Write R in roster form. (ii) Find dom (R) and range (R). (iii) What is its co-domain? (iv) Depict R by using arrow diagram.

Question

Philoid · Accepted Answer

Given: A = {1, 2, 3, 4, 5, 6}

(i) R = {(x, y): y = x + 1}

So, R is Roster Form is,

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

(ii) Dom(R) = {1, 2, 3, 4, 5}

Range(R) = {2, 3, 4, 5, 6}

(iii) Here, y = x + 1

So, the CoD(R) = {1, 2, 3, 4, 5, 6,………… }

(iv)

Let A = {1, 2, 3, 4, 5, 6}.Define a relation R from A to A by R = {(x, y): y = x + 1}.(i) Write R in roster form.(ii) Find dom (R) and range (R).(iii) What is its co-domain?(iv) Depict R by using arrow diagram.

Let A = {1, 2, 3, 4, 5, 6}.
Define a relation R from A to A by R = {(x, y): y = x + 1}.

(i) Write R in roster form.

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

(iii) What is its co-domain?

(iv) Depict R by using arrow diagram.