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
For two sets $A$ and $B$,$A \cup B = A$ if and only if
Easy
View SolutionFor an integer $n$,let $S_n = \{n+1, n+2, \ldots, n+18\}$. Which of the following is true for all $n \geq 10$?
DifficultKVPY 2013
View SolutionTwo dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$.
Describe the event $A$ or $B$.
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$.
Describe the event $A$ or $B$.
Medium
View SolutionLet $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$. Then:
Easy
View SolutionDetermine whether the following set is finite or infinite:
The set of positive integers greater than $100$.
The set of positive integers greater than $100$.
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