Question -
Answer -
(i) R = {(x, x+5): x ∈ {0, 1, 2, 3, 4, 5}
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}
(ii) R= {(x, x3): x is a prime number less than 10}
Given,
R = {(x, x3): x is a prime number less than 10}
Prime numbers less than 10 are 2, 3, 5 and 7
∴ R = {(2, 23), (3, 33), (5, 53), (7, 73)}
R = {(2, 8), (3, 27), (5, 125), (7, 343)}
So,
Domain of relation R = {2, 3, 5, 7}
Range of relation R = {8, 27, 125, 343}