Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
${1, 2, 5} \subset A$
${1, 2, 5} \subset A$
(N/A) Given the set $A = \{1, 2, \{3, 4\}, 5\}$.
The statement ${1, 2, 5} \subset A$ is correct.
Reason: $A$ set $X$ is a subset of $A$ if every element of $X$ is also an element of $A$. Here,the elements of ${1, 2, 5}$ are $1, 2,$ and $5$. Since $1 \in A, 2 \in A,$ and $5 \in A$,the statement ${1, 2, 5} \subset A$ is true.
The statement ${1, 2, 5} \subset A$ is correct.
Reason: $A$ set $X$ is a subset of $A$ if every element of $X$ is also an element of $A$. Here,the elements of ${1, 2, 5}$ are $1, 2,$ and $5$. Since $1 \in A, 2 \in A,$ and $5 \in A$,the statement ${1, 2, 5} \subset A$ is true.
Explore More
Similar Questions
Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$,and $C = \{0, 2, 4, 6, 8\}$,which of the following sets can be considered as a universal set for all the three sets $A$,$B$,and $C$?
$X = \{0, 1, 2, 3, 4, 5, 6\}$
$X = \{0, 1, 2, 3, 4, 5, 6\}$
Easy
View SolutionWhich of the following is an empty set?
Write the following set in the set-builder form: $\{ 1, 4, 9, \ldots, 100 \}$
Easy
View SolutionWrite down all the subsets of the following set: $\emptyset $
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 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