Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$1 \subset A$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) Given the set $A = \{1, 2, \{3, 4\}, 5\}$.
The statement $1 \subset A$ is incorrect.
In set theory,an element of a set is denoted by the symbol $\in$. Since $1$ is an element of $A$,it should be written as $1 \in A$.
$A$ subset is formed by enclosing elements in braces. Therefore,the correct subset representation would be $\{1\} \subset A$.

Explore More

Similar Questions

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$8 \dots A$

Write the following interval in set-builder form: $[6, 12]$

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 three sets $A$,$B$,and $C$?

Find the union of each of the following pairs of sets:
$A = \{1, 2, 3\}, B = \varnothing$

If $R$ is the set of real numbers and $Q$ is the set of rational numbers,then what is $R - Q$?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo