If R= (x, y):x, y ,2x+y=8 , then write the domain and range of R. - Vidyadip

Question

If $\text{R}=\{(\text{x, y}):\text{x, y}\in\text{W},2\text{x}+\text{y}=8\},$ then write the domain and range of R.

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Answer

We have, $\text{R}=\{(\text{x, y}):\text{x, y}\in\text{W},2\text{x}+\text{y}=8\}$ Now, 2x + y = 8 ⇒ y = 8 - 2x Putting x = 0, 1, 2, 3, 4 we get, y = 8, 6, 4, 2, 0 respectively For x > 4, $\text{y}\notin\text{w}$ $\therefore$ Domain(R) = {0, 1, 2, 3, 4} and Range(R) = {8, 6, 4, 2, 0} = {0, 2, 4, 6, 8}

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