Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
${1, 2, 5} \in A$
${1, 2, 5} \in A$
(A) Given the set $A = \{1, 2, \{3, 4\}, 5\}$.
The elements of set $A$ are $1$,$2$,${3, 4}$,and $5$.
The statement ${1, 2, 5} \in A$ is incorrect because ${1, 2, 5}$ is a subset of $A$ (i.e.,${1, 2, 5} \subset A$),but it is not an element of $A$.
The elements of set $A$ are $1$,$2$,${3, 4}$,and $5$.
The statement ${1, 2, 5} \in A$ is incorrect because ${1, 2, 5}$ is a subset of $A$ (i.e.,${1, 2, 5} \subset A$),but it is not an element of $A$.
Explore More
Similar Questions
Show that the set of letters needed to spell "$CATARACT$" and the set of letters needed to spell "$TRACT$" are equal.
Easy
View SolutionWhat universal set $(U)$ would you propose for each of the following:
The set of isosceles triangles
The set of isosceles triangles
Easy
View SolutionState which of the following sets are finite or infinite:
$\{ x : x \in \mathbb{N} \text{ and } (x - 1)(x - 2) = 0 \}$
$\{ x : x \in \mathbb{N} \text{ and } (x - 1)(x - 2) = 0 \}$
Medium
View SolutionIf $A = \{x \in R : x^2 - 5|x| + 6 = 0\}$,then find $n(A)$.
If $A = \{1, 2, 3, 4, 5, 6\}$, then which of the following is not true?
Vedclass 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