Let A={1,2,3, ldots, 14} . Define a relation | vedclass

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Question

The relation $R$ from $A$ to $A$ is given as $R = \{ (x,y):3x - y = 0,{\rm{ }}$ where $x,y \in A\} $

ie., $R=\{(x, y): 3 x=y, $ where $ x, y \in A\

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The relation $R$ from $A$ to $A$ is given as $R = \{ (x,y):3x - y = 0,{m{ }}$ where $x,y \in A\} $

ie., $R=\{(x, y): 3 x=y, $ where $ x, y \in A\}$

$	herefore R=\{(1,3),(2,6),(3,9),(4,12)\}$

The domain of $R$ is the set of all first elements of the ordered pairs in the relation.

$	herefore$ Domain of $R=\{1,2,3,4\}$

The whole set $A$ is he codomain of the relation $R$.

$	herefore$ Codomain of $R=A=\{1,2,3 \ldots .14\}$

The range of $R$ is the set of all second elements of the ordered pairs in the relation.

$	herefore$ Range of $R=\{3,6,9,12\}$

Let $A=\{1,2,3, \ldots, 14\} .$ Define a relation $R$ from $A$ to $A$ by $R = \{ (x,y):3x - y = 0,$ where $x,y \in A\} .$ Write down its domain, codomain and range.

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