Let A = {1, 2, 3} and B = {1, 3, 5}. If a rel | vedclass

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

Question

(A) The inverse relation ${R^{ - 1}}$ is obtained by interchanging the elements of the ordered pairs in the relation $R$. Given $R = \{(1, 3), (2, 5),

Vedclass · Accepted Answer

$\{(3, 1), (5, 2), (3, 3)\}$

Vedclass · Answer

(A) The inverse relation ${R^{ - 1}}$ is obtained by interchanging the elements of the ordered pairs in the relation $R$. Given $R = \{(1, 3), (2, 5), (3, 3)\}$. By swapping the coordinates $(x, y)$ to $(y, x)$ for each pair in $R$: $(1, 3) \rightarrow (3, 1)$ $(2, 5) \rightarrow (5, 2)$ $(3, 3) \rightarrow (3, 3)$ Therefore,${R^{ - 1}} = \{(3, 1), (5, 2), (3, 3)\}$. Comparing this with the given options,the correct option is $A$.

Let $A = \{1, 2, 3\}$ and $B = \{1, 3, 5\}$. If a relation $R$ from $A$ to $B$ is defined as $R = \{(1, 3), (2, 5), (3, 3)\}$,then find the inverse relation ${R^{ - 1}}$.

Similar Questions

Define a relation $R$ on the set $N$ of natural numbers by $R = \{(x, y) : y = x + 5, x \text{ is a natural number less than } 4; x, y \in N\}$. Depict this relationship using roster form. Write down the domain and the range.

If $A = \{(a, b) : 4a = 5b; a, b \in \{1, 2, 3, \dots, 30\}\}$,then the number of such ordered pairs $(a, b)$ is

Given $A = \{1, 2, 3, 4, 5\}$ and $B = \{1, 4, 5\}$. If $R$ is a relation from $A$ to $B$ such that $(x, y) \in R$ with $x > y$,then the range of $R$ is:

If $n(A)=2$ and the total number of possible relations from set $A$ to set $B$ is $1024$,then $n(B)$ is:

$R$ is a relation on $\mathbb{N}$ given by $R=\{(x, y): 4x+3y=20\}$. Which of the following belongs to $R$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module