Let $A = \{1, 2, \{3, 4\}, 5\}$. Is the statement $\{3, 4\} \in A$ correct or incorrect? Explain.
(A) Given the set $A = \{1, 2, \{3, 4\}, 5\}$.
The elements of set $A$ are $1$,$2$,$\{3, 4\}$,and $5$.
Since $\{3, 4\}$ is explicitly listed as an element within the set $A$,the statement $\{3, 4\} \in A$ is correct.
The elements of set $A$ are $1$,$2$,$\{3, 4\}$,and $5$.
Since $\{3, 4\}$ is explicitly listed as an element within the set $A$,the statement $\{3, 4\} \in A$ is correct.
Explore More
Similar Questions
Which of the following is a set? Justify your answer.
The collection of all boys in your class.
The collection of all boys in your class.
Easy
View SolutionLet $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
${1, 2, 3} \subset A$
${1, 2, 3} \subset A$
Easy
View SolutionThe number of proper subsets of the set $\{1, 2, 3\}$ is
Easy
View SolutionWhich of the following are sets? Justify your answer.
The collection of all natural numbers less than $100$.
The collection of all natural numbers less than $100$.
Easy
View SolutionIf $R$ is the set of real numbers and $Q$ is the set of rational numbers,then what is $R - Q$?
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