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
State whether the following set is finite or infinite:
The set of lines which are parallel to the $x$-axis.
The set of lines which are parallel to the $x$-axis.
Easy
View SolutionLet $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why? $\{ \{ 3, 4\} \} \subset A$
Easy
View SolutionThe number of proper subsets of the set $\{1, 2, 3\}$ is
Easy
View SolutionWhich of the following pairs of sets are equal? Justify your answer.
$A = \{ n : n \in \mathbb{Z} \text{ and } n^2 \le 4 \}$ and $B = \{ x : x \in \mathbb{R} \text{ and } x^2 - 3x + 2 = 0 \}$.
$A = \{ n : n \in \mathbb{Z} \text{ and } n^2 \le 4 \}$ and $B = \{ x : x \in \mathbb{R} \text{ and } x^2 - 3x + 2 = 0 \}$.
Easy
View SolutionIs it true that for any sets $A$ and $B$,$P(A) \cup P(B) = P(A \cup B)$? Justify your answer.
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