`A={1,2,3,4,5},S={(x,y):x in A,y, in A}`, then find the ordered which satisfy the conditions given below.
(i) `x+y=5` (ii) `x+ylt5`
(iii) `x+y=gt8`

Explanation

We have `A={1,2,3,4,5},S={(x,y): x in A,y, in A}`,
(i) The set of ordered pairs stistying x+y=5 is
`{(1,4),(2,3),(3,2),(4,1)}`
(ii) The set of ordered paris satisfying `x+ylt "is" (1,1),(1,2),(1,3),(2,1), (2,2),(3,1)`
(iii) The set of ordered pairs satisfying `x+y gt 8 "is" {(4,5),(5,4),(5,5)}`