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}
Here,
$R=\{(x, y): x \in A$ and $y \in B: x>y\}$
$\Rightarrow R=\{(2,1),(3,1)\}$
Thus,
Range of R = {1}