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 $\{-1,0,1\}.$
Write the following sets in roster form :
$D = \{ x:x$ is a prime number which is divisor of $60\} $
Examine whether the following statements are true or false :
$\{a\} \subset\{a, b, c\}$
Which of the following is the empty set
Write the following as intervals :
$\{ x:x \in R,3\, \le \,x\, \le \,4\} $
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$