A relation R is defined from {2, 3, 4, 5} to | vedclass

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

Question

(D) Two numbers are relatively prime if their greatest common divisor $(GCD)$ is $1$.We check each element $x \in \{2, 3, 4, 5\}$ to see if there exis

Vedclass · Accepted Answer

$\{2, 3, 4, 5\}$

Vedclass · Answer

(D) Two numbers are relatively prime if their greatest common divisor $(GCD)$ is $1$.We check each element $x \in \{2, 3, 4, 5\}$ to see if there exists at least one $y \in \{3, 6, 7, 10\}$ such that $	ext{gcd}(x, y) = 1$:- For $x = 2$: $	ext{gcd}(2, 3) = 1$,so $(2, 3) \in R$.- For $x = 3$: $	ext{gcd}(3, 7) = 1$,so $(3, 7) \in R$.- For $x = 4$: $	ext{gcd}(4, 3) = 1$,so $(4, 3) \in R$.- For $x = 5$: $	ext{gcd}(5, 3) = 1$,so $(5, 3) \in R$.Since every element in the set $\{2, 3, 4, 5\}$ is related to at least one element in $\{3, 6, 7, 10\}$,the domain of $R$ is $\{2, 3, 4, 5\}$.

$A$ relation $R$ is defined from $\{2, 3, 4, 5\}$ to $\{3, 6, 7, 10\}$ by $xRy \iff x$ is relatively prime to $y$. Then the domain of $R$ is

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

The figure shows a relationship between the sets $P$ and $Q$. Write this relation in set-builder form. What is its domain and range?

Determine the domain and range of the relation $R$ defined by $R = \{(x, x+5): x \in \{0, 1, 2, 3, 4, 5\}\}$.

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

Let $A = \{1, 2, 3, 4, 5, 6\}$. Define a relation $R$ from $A$ to $A$ by $R = \{(x, y) : y = x + 1\}$. Write down the domain,codomain,and range of $R$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module