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 $\{-1,0,1\}.$
List all the elements of the following sers :
$D = \{ x:x$ is a letter in the word $"\mathrm{LOYAL}" $ $\} $
Let $S=\{1,2,3,4\}$. The total number of unordered pairs of disjoint subsets of $S$ is equal to
The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is
State whether each of the following set is finite or infinite :
The set of letters in the English alphabet
Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $