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

Answer 1

(c) {1}

Here,
$$\begin{gathered} R=\left\{\left(x,y\right):x\in A\mathrm{and}y\in B:x>y\right\} \\ \Rightarrow R=\left\{\left(2,1\right),\left(3,1\right)\right\} \end{gathered}$$

Thus,
Range of R = {1}