Determine the domain and range of the relation R defined by R = {(x, x+5): x {0, 1, 2, 3, 4, 5}

Question

Philoid · Accepted Answer

Given,

R = {(x, x+5): x {0, 1, 2, 3, 4, 5}

∴ R = {(0, 0+5), (1, 1+5), (2, 2+5), (3, 3+5), (4, 4+5), (5, 5+5)}

⇒ R = {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}

So,

Domain of relation R = {0, 1, 2, 3, 4, 5}

Range of relation R = {5, 6, 7, 8, 9, 10}