let R be a relation defined on N defined by x+2y=8 . find the domain of R

Dear Student,
Please find below the solution to the asked query:

We havex+2y=82y=8-xy=8-x2y=82-x2y=4-x2Now both x and y must be natural numbers, hencex=2,4,6 because when x=2y=4-22=3when x=4y=4-42=2when x=6y=4-62=1Now if we take x=8, then y=0 which is not natural number.Hence domain is 2,4,6and range is 1,2,3 

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  • 2
Dear student,
Domain means the set of all possible inputs the user can enter.
Since the relation is defined on set N, the set of natural numbers, it means that the inputs as well as the outputs should belong to N.
So, the domain of the given relation is N.
Hope this helps.
Cheers!
  • -2
Dear student,
Domain means the set of all possible inputs the user can enter.
Since the relation is defined on set N, the set of natural numbers, it means that the inputs as well as the outputs should belong to N.
So, the domain of the given relation is N.
Hope this helps.
Cheers!
  • -1
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