List all the subsets of the set $\{-1,0,1\}.$
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 $\{-1,0,1\}.$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ \{ 3,4\} \} \subset A$
The number of proper subsets of the set $\{1, 2, 3\}$ is
Write down all the subsets of the following sets
$\emptyset $
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$ 4\, ......... \, A $
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 each of the following pair of sets:
$B \ldots \cdot C$