Let `R` be a relation defined on the set of natural numbers `N` as `R={(x ,\ y): x ,\ y in N ,\ 2x+y=41}` Find the domain and range of `R` . Also, verify whether `R` is (i) reflexive, (ii) symmetric (iii) transitive.

Explanation

Domain of `R` is the values of `x` and range of `R` is the values of `y` that together should satisfy `2 x+y=41`.


So,


Domain of `R=\{1,2,3,4, \ldots, 20\}`


Range of `R=\{1,3,5, \ldots, 37,39\}`


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