If `A={1,2,3},\ B={4,5,6}` Is the following relation from `A\ to\ B ?` Give reason in support of your answer: `R_2={(1,5),\ (2,4),\ (3,6)}`

Explanation

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

Then `AxxB={(1,4),(1,5),(1,6)(2,4)(2,5)(2,6)(3,4)(3,5),(3,6)}`

Let `R_2`​=(1,6),(2,6),(3,6)

`(1,6)inAxxB `

`(2,6)inAxxB `

`(3,6)inAxxB`

`R_2 subeAxxB `

`R_2`​=(1,6)(2,6)(3,6)