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

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

Let $A = \{11, 12, 13\}$ and $B = \{8, 10, 12\}$. $A$ relation $R$ from $A$ to $B$ is defined by $y = x - 3$. Then,find $R^{-1}$.

Let $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is

If $A = \{x, y, z\}$ and $B = \{1, 2\}$,then the total number of relations from set $A$ to set $B$ is:

Let $A = \{1, 2, 3, 4\}$,$B = \{1, 5, 9, 11, 15, 16\}$,and $f = \{(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)\}$. Is $f$ a relation from $A$ to $B$? Justify your answer.

Vedclass Test Series

Exam Paper Generator

Online Exam Module