Which of the following is a true statement

Which of the following sets are finite or infinite.

$\{1,2,3 \ldots .\}$

Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.

Examine whether the following statements are true or false :

$\{ a,e\}  \subset \{ x:x$ is a vowelin the English alphabet $\} $

The smallest set $A$ such that $A  \cup  \{1, 2\} = \{1, 2, 3, 5, 9\}$ 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 $A \subset B$ and $x \notin B,$ then $x \notin A$