Question

The domain and range of relation $R = \\{ (x , y ) /x , y \in N , x + 2y = 5\\}$ is

• A. \left\\{1 , 3\right\\}, \left\\{2 , 1\right\\}
• B. \left\\{2, 1\right\\}, \left\\{3, 2\right\\}
• C. \left\\{1, 3\right\\}, \left\\{1, 1\right\\}
• D. \left\\{1,2\right\\}, \left\\{1, 3\right\\}

Answer 1

Answer: (A)

\left\\{1 , 3\right\\}, \left\\{2 , 1\right\\}

Answer 2

$x + y = 5 \, \Rightarrow \, x \in N.y \in N$ Domain .= Set of values of $x = \\{1,3\\}$ Range = Set of values of $y=\\{1,2\\}$