If `A={1,2,3},B={4,5,6},` which of the following are relations from `AtoB` ? Give reasons in support of your answer. `{(1,6),(3,4),(5,2)}` (ii) `{(1,5),(2,6),(3,4),(3,6)}` (iii) `{(4,2),(4,3),(5,1)}` (iv) `AxxBdot`

Explanation

Here,` A = {1 , 2 , 3} B = { 4 , 5 , 6} `

Then `A xx B=(1,4),(1,5),(1,6)(2,4)(2,5)(2,6)(3,4)(3,5),(3,6)`

Let `R2​=(1,6),(2,6),(3,6)`

`(1,6)inA×B`

`(2,6)inA×B`

`(3,6)inA×B`

`R2​subeA×B`

`R2​=(1,6)(2,6)(3,6)`

...