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

Vedclass pdf generator app on play store
Vedclass iOS app on app store

Let $A=\{-1,0,1\} .$ The subset of $A$ having no element is the empty set $\phi .$

The subsets of $A$ having one element are $\{-1\},\{0\},\{1\} .$

The subsets of $A$ having two elements are $\{-1,0\},\{-1,1\},\{0,1\} .$

The subset of $A$ having three elements of $A$ is $A$ itself.

So, all the subsets of $A$ are $\phi,\{-1\},\{0\},\{1\},\{-1,0\},\{-1,1\}$ $\{0,1\}$ and $\{-1,0,1\}.$

Similar Questions

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ 2,3,4\}  \ldots \{ 1,2,3,4,5\} $

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} - 3x + 2 = 0\,\} .$

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

$ 0\, ........\, A $

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is an equilateral triangle in a plane $\}  \ldots \{ x:x$ is a triangle in the same plane $\} $

How many elements has $P(A),$ if $A=\varnothing ?$