Determine domain and range of relation R defined by R ={(x, x+5): x ∈{0,1,2,3,4,5}}

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2.Relations and Functions

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Determine the domain and range of the relation $R$ defined by $R =\{(x, x+5): x \in\{0,1,2,3,4,5\}\}$

A

$\{ 0,1,2,3,4,5\} $ and $\{ 5,6,7,8,9,10\} $

B

$\{ 0,1,2,3,4,5\} $ and $\{ 5,6,7,8,9,10\} $

C

$\{ 0,1,2,3,4,5\} $ and $\{ 5,6,7,8,9,10\} $

D

$\{ 0,1,2,3,4,5\} $ and $\{ 5,6,7,8,9,10\} $

Solution

$R=\{(x, x+5): x \in\{0,1,2,3,4,5\}\}$

$\therefore R=\{(0,5),(1,6),(2,7),(3,8),(4,9),(5,10)\}$

$\therefore$ Domain of $R=\{0,1,2,3,4,5\}$

Range of $R=\{5,6,7,8,9,10\}$

Standard 11

Mathematics

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