Question:
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
Solution:
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)
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