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 sets ? Justify your answer.
The collection of all natural numbers less than $100 .$
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $2x - 1 = 0\} $
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$ 0\, ........\, A $
Which of the following is a true statement