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

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 $Y$

Similar Questions

Let $A=\{1,2,3,4,5,6\} .$ Define a relation $R$ from $A$ to $A$ by $R=\{(x, y): y=x+1\}$

Depict this relation using an arrow diagram.

Let $A=\{1,2,3,4\}, B=\{1,5,9,11,15,16\}$ and $f=\{(1,5),(2,9),(3,1),(4,5),(2,11)\}$
Are the following true?

$f$ is a relation from $A$ to $B$

Justify your answer in each case.

Let $A=\{x, y, z\}$ and $B=\{1,2\} .$ Find the number of relations from $A$ to $B$.

$A=\{1,2,3,5\}$ and $B=\{4,6,9\} .$ Define a relation $R$ from $A$ to $B$ by $R = \{ (x,y):$ the difference between $ x $ and $ y $ is odd; ${\rm{; }}x \in A,y \in B\} $ Write $R$ in roster form.

Given two finite sets $A$ and $B$ such that $n(A) = 2, n(B) = 3$. Then total number of relations from $A$ to $B$ is