List all the subsets of the set $\{-1, 0, 1\}$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Let $A = \{-1, 0, 1\}$.
The number of elements in $A$ is $n = 3$. The total number of subsets is given by $2^n = 2^3 = 8$.
The subset of $A$ having $0$ elements is the empty set $\phi$.
The subsets of $A$ having $1$ element are $\{-1\}, \{0\}, \{1\}$.
The subsets of $A$ having $2$ elements are $\{-1, 0\}, \{-1, 1\}, \{0, 1\}$.
The subset of $A$ having $3$ elements is $\{-1, 0, 1\}$.
Thus,all the subsets of $A$ are $\phi, \{-1\}, \{0\}, \{1\}, \{-1, 0\}, \{-1, 1\}, \{0, 1\}, \{-1, 0, 1\}$.

Explore More

Similar Questions

Consider the sets $\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$. Insert the symbol $\subset$ or $\not\subset$ between the following pair of sets: $A \dots C$.

Show that the following four conditions are equivalent:
$(i) A \subset B, \quad (ii) A - B = \phi, \quad (iii) A \cup B = B, \quad (iv) A \cap B = A$

Which of the following are examples of the null set?
Set of even prime numbers

If $A = \{1, 2, 3, 4, 5, 6\}$, then which of the following is not true?

Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces:
$\{ x:x \text{ is a student of class } XI \text{ of your school} \} \dots \{ x:x \text{ is a student of your school} \}$

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