If A = [1, 2, 3], B = [1, 4, 6, 9] and R is a relation from A to B defined by 'x' is greater than y.
Question:
If A = [1, 2, 3], B = [1, 4, 6, 9] and R is a relation from A to B defined by 'x' is greater than y. The range of R is
(a) {1, 4, 6, 9}
(b) (4, 6, 9)
(c) [1]
(d) none of these.
Solution:
(c) {1}
A = {1, 2, 3} and B = {1, 4, 6, 9}
R is a relation from A to B defined by: x is greater than y.
Then R = {(2,1),(3,1)}
∴ Range (R) = {1}