\\\\(x+2y=8\\\\) , Given \\\\(x,y\\\\) are natural numbers , which implies \\\\(x,y >0\\\\)If \\\\(y=1\\\\) , we get \\\\(x=6\\\\)If \\\\(y=2\\\\) , we get \\\\(x=4\\\\)If \\\\(y=3\\\\) , we get \\\\(x=2\\\\)For \\\\(y\\ge 4\\\\) , \\\\(x\\\\) wont be a natural numberSo the range of \\\\(R\\\\) is \\\\(\\{1,2,3\\}\\\\)