Write the following sets in roster form :
$\mathrm{E} =$ The set of all letters in the world $\mathrm{TRIGONOMETRY}$
$E =$ The set of all letters in the word $TRIGONOMETRY$
There are $12$ letters in the word $TRIGONOMETRY,$ out of which letters $T,$ $R$ and $O$ are repeated
Therefore, this set can be written in roster form as
$E =\{ T , R , I , G , O , N , M , E , Y \}$
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:
$B \ldots \cdot C$
$A = \{ x:x \ne x\} $ represents
The number of elements in the set $\{x \in R :(|x|-3)|x+4|=6\}$ is equal to
Set $A$ has $m$ elements and Set $B$ has $n$ elements. If the total number of subsets of $A$ is $112$ more than the total number of subsets of $B$, then the value of $m \times n$ is
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \not\subset B$ and $B \not\subset C,$ then $A \not\subset C$