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
$E =\{ T , R , I , G , O , N , M , E , Y \}$
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 $A \not\subset C$
Which of the following are examples of the null set
Set of even prime numbers
State whether each of the following set is finite or infinite :
The set of lines which are parallel to the $x\,-$ axis
Write the set $\left\{\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\right\}$ in the set-builder form.
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{\varnothing\} \subset A$