`A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7}` and if `R={(x ,\ y): y` is one half of `x ; x ,\ y in A}` is a relation on `A` , then write `R` as a set of ordered pairs.

Answer

`{R}={(2,1),(4,2),(6,3),(8,4)}`

Explanation

Given` {A}={1,2,3,4,5,6,7,8} `

and for the relation` {R}={((x, y)` : y is one half of x or `x/2`; `x, y in A`}

Now according to the given condition `y=x / 2`

For `x=1` , `y notin R`

`therefore` x must be even

`x=2 ,y=1`

`x=4,y=2`

`x=6,y=3`

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