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

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) From the given figure,the sets are $P = \{5, 6, 7\}$ and $Q = \{3, 4, 5\}$.
$1$. Set-builder form:
The relation $R$ can be written as $R = \{(x, y) : y = x - 2, x \in P\}$.
$2$. Domain:
The domain is the set of all first elements of the ordered pairs in the relation,which is $\{5, 6, 7\}$.
$3$. Range:
The range is the set of all second elements of the ordered pairs in the relation,which is $\{3, 4, 5\}$.

Explore More

Similar Questions

If $R=\{(x, y): x, y \in Z, x^{2}+3 y^{2} \leq 8\}$ is a relation on the set of integers $Z,$ then the domain of $R^{-1}$ is

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

Let the relation $R$ be defined on the set of natural numbers $N$ by $a R b$ if $3 a+2 b=27$. Then $R$ is:

If $A = \{1, 2, 3\}$ and $B = \{1, 4, 6, 9\}$,and $R$ is a relation from $A$ to $B$ defined by "$x$ is greater than $y$",then the range of $R$ is:

Let $A = \{2, 3, 4, 5\}$ and $B = \{3, 6, 7, 10\}$. $A$ relation $R$ is defined from $A$ to $B$ such that $xRy \iff x$ is relatively prime to $y$. What is the domain of $R$?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo