2.Relations and Functions
medium

$R=\{(x, y): y=x+5,$ $x$ એ $4$ થી નાની પ્રાકૃતિક સંખ્યા છે, $x, y \in N \}$ થાય તે રીતે એક સંબંધ $N$ પર વ્યાખ્યાયિત છે. $R$ ને યાદીની રીતે લખો. $R$ નો પ્રદેશ તેમજ વિસ્તાર મેળવો.

Option A
Option B
Option C
Option D

Solution

$R=\{(x, y): y=x+5, x $ is a natural mumber less than $ 4, x, y \in N \}$

The natural numbers less than $4$ are $1,2,$ and $3 .$

$\therefore R=\{(1,6),(2,7),(3,8)\}$

The domain of $R$ is the set of all first elements of the ordered pairs in the relation.

$\therefore$ Domain of $R=\{1,2,3\}$ The range of $R$ is the set of all second

elements of the ordered pairs in the relation.

$\therefore$ Range of $R=\{6,7,8\}$

Standard 11
Mathematics

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