1.

Let R be a relation from A {1, 2, 3, 4) to B (1, 3, 5) such that `R{ (a, b):a < b, `where `a in A and b in B)` then what is `ROR^(-1)` equal to?

Answer» `A -> B`
`R : { (1,3),(1,5),(2,3),(2,5),(3,5),(4,5)}`
`R^-1 : {(3,1),(5,1),(3,2),(5,2),(5,3),(5,4)}`
`B= {1,3,5}`
`y= ROR^-1`
`x=1`
`x=3`
When x=3; `R(1) -> (3,3)(3,5)`
`R(2) -> (3,3)(3,5)`
when x=5 ; `R(1) -> (5,3),(5,5)`
`R(2) -> (5,3),(5,5)`
`R(3) -> (5,5)`
`R(4) -> (5,5)`
so, `ROR^-1 = {(3,3)(3,5)(5,3)(5,5)}`
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