Which set is the subset of all given sets

- A
$\{1, 2, 3, 4,......\}$

- B
$\{1\}$

- C
$\{0\}$

- D
$\{\}$

Which of the following are sets ? Justify your answer.

The collection of all even integers.

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

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 $x \in A$ and $A \not\subset B$, then $x \in B$

Write the following sets in roster form :

$D = \{ x:x$ is a prime number which is divisor of $60\} $

Write the following sets in the set-builder form :

${\rm{\{ 5,25,125,625\} }}$