Q5 of 109 Page 1

If R = {(x,y) : x + 2y = 8} is a relation on N, then write the range of R.

Given x and y are natural numbers, i.e. x,y ∈ N.


∴ Range of R=Set of all second elements in the relation.


=Values of ‘y’ which are in relation.


=N (Natural Numbers)


Since, x+ 2y = 8 and x,y are Natural numbers;


⇒ R= {(2,3), (4,2), (6,1)}


⇒ Range of R= {1,2,3}


NOTE: 0 is a whole number that’s why it is not considered in this set.


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