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A is a set of first 10 natural numbers a...

A is a set of first 10 natural numbers and R is a relation from A to A defined as:
`(x,y) in R hArr x+2y=10` when `x,y in A`
(i)Express R in the form of a set of ordered pairs.
(ii) Find the domain and range of R.
(iii) Find `R^(-1)` .

Text Solution

Verified by Experts

The correct Answer is:
(i) R={(2,4),(4,3),(6,2),(8,1)}
(ii) Domain ={2,4,6,8}, Range ={4,3,2,1}
`R^(-1)={(4,2),(3,4),(2,6),(1,8)}`
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