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 $\{-1,0,1\}.$
Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are
Which of the following are examples of the null set
$\{ y:y$ is a point common to any two parallellines $\} $
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \in A$
List all the elements of the following sers :
$D = \{ x:x$ is a letter in the word $"\mathrm{LOYAL}" $ $\} $
Which of the following are sets ? Justify your answer.
The collection of all natural numbers less than $100 .$