A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a | vedclass

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

Question

(A) Given sets are $A = \{1, 2, 3, 5\}$ and $B = \{4, 6, 9\}$.
The relation $R$ is defined as the set of all ordered pairs $(x, y)$ such that $|x - y

Vedclass · Accepted Answer

$R = \{(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)\}$

Vedclass · Answer

(A) Given sets are $A = \{1, 2, 3, 5\}$ and $B = \{4, 6, 9\}$.
The relation $R$ is defined as the set of all ordered pairs $(x, y)$ such that $|x - y|$ is odd,where $x \in A$ and $y \in B$.
Checking each pair:
For $x = 1$: $|1 - 4| = 3$ (odd),$|1 - 6| = 5$ (odd),$|1 - 9| = 8$ (even). So,$(1, 4)$ and $(1, 6) \in R$.
For $x = 2$: $|2 - 4| = 2$ (even),$|2 - 6| = 4$ (even),$|2 - 9| = 7$ (odd). So,$(2, 9) \in R$.
For $x = 3$: $|3 - 4| = 1$ (odd),$|3 - 6| = 3$ (odd),$|3 - 9| = 6$ (even). So,$(3, 4)$ and $(3, 6) \in R$.
For $x = 5$: $|5 - 4| = 1$ (odd),$|5 - 6| = 1$ (odd),$|5 - 9| = 4$ (even). So,$(5, 4)$ and $(5, 6) \in R$.
Thus,$R = \{(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)\}$.

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

Similar Questions

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

Two finite sets $A$ and $B$ are such that $n(A) = 2$ and $n(B) = 3$. Then the total number of relations from $A$ to $B$ is:

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 ${R^{ - 1}}$.

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.

$A$ relation from $P$ to $Q$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module