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  4. Let R be a relation on N defined by x + 2y = 8. Then the number of elements in the domain of R is

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Q. Let $R$ be a relation on $N$ defined by $x + 2y = 8$. Then the number of elements in the domain of $R$ is

Relations and Functions

Solution:

$R$ be a relation on $N$ defined by $x + 2y = 8$
$\therefore R =\left\{\left(2,3\right);\left(4,2\right);\left(6,1\right)\right\}$
$R =\left\{2, 4, 6\right\}$