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Relations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations5 Marks
Question
Determine the domain and range of the relation R defined by:
$\text{R}=\{(\text{x, x,}+5):\text{x}\in\{0,1,2,3,4,5\}\}$
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Answer

We have,
$\text{R}=\{(\text{x, x,}+5):\text{x}\in\{0,1,2,3,4,5\}\}$
For the elements of the given sets, we find that
R = {(0, 5), (1, 6), (2, 7), (3, 8),(4, 9), (5, 10)}
Clearly, Domain (R) = {0, 1, 2, 3, 4, 5} and Range (R) = {5, 6, 7, 8, 9, 10}

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