Determine the domain and range of the relation R defined by
R = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}}.
Given: R = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}}
Hence the relation in roaster form, R = {(0,5), (1,6), (2,7), (3,8), (4,9), (5,10)}
As Domain of R = set of all first elements of the order pairs in the relation.
⇒ Domain of R = {0, 1, 2, 3, 4, 5}
Range of R = set of all second elements of the order pairs in the relation.
⇒ range of R = {5, 6, 7, 8, 9, 10}.