Let X = { 1,,2,,3,,4,,5} and Y = { 1,,3,,5,, | vedclass

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Question

$R_1=\{(x, y): y=2+x, x \in X, y \in Y\}$

$x=1 \rightarrow y=1+2=3$

$x=2 \rightarrow y=2+2=4$

$x=3 \rightarrow y=3+2=5$

$x=4 \rightarrow y

Vedclass · Accepted Answer

both (B) and (C)

Vedclass · Answer

$R_1=\{(x, y): y=2+x, x \in X, y \in Y\}$

$x=1 ightarrow y=1+2=3$

$x=2 ightarrow y=2+2=4$

$x=3 ightarrow y=3+2=5$

$x=4 ightarrow y=4+2=6$

$x=5 ightarrow y=5+2=7$

$R=\{(1,3),(2,4),(3,5),(4,6),(5,7)\}$

Here in $(4,6)$ ,$6$ does not belong to either $X$or$Y$

So $R_1$ is not a relation between $X$ and $Y$

In $R _4$, since it contains an element $(7,9)$ which relates set $Y$ to set $Y$, while rest elements relate set $X$ to $Y$.

$	herefore R _4$ is not a relation between $X$ and $Y$

Let $X = \{ 1,\,2,\,3,\,4,\,5\} $ and $Y = \{ 1,\,3,\,5,\,7,\,9\} $. Which of the following is/are relations from $X$ to $Y$

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