The figure shows a relationship between the sets $P$ and $Q$. Write this relation in set-builder form. What is its domain and range?
(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 $\{3, 4, 5\}$.
$1$. 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 $n(A)=2$ and the total number of possible relations from set $A$ to set $B$ is $1024$,then $n(B)$ is:
MediumKCET 2020
View SolutionThe figure shows a relation between the sets $P$ and $Q$. Write this relation in set-builder form. What are its domain and range?
Easy
View SolutionLet 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:
Let $R$ be a relation from $N$ to $N$ defined by $R = \{(a, b) : a, b \in N \text{ and } a = b^2\}$. Is the following statement true?
$(a, b) \in R$ implies $(b, a) \in R$
$(a, b) \in R$ implies $(b, a) \in R$
Easy
View SolutionLet $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo