State whether each of the following set is finite or infinite :

The set of animals living on the earth

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 $x \notin A$

Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:

$ 5\, …….\, A$

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and $x$ is odd $\} $

Which of the following are sets ? Justify your answer.

The collection of all even integers.