Which of the following are sets ? Justify your answer.
The collection of all even integers.
Write down all the subsets of the following sets
$\emptyset $
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 $x \notin A$
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 $A \in B,$ then $x \in B$
Write the following intervals in set-builder form :
$\left[ { - 23,5} \right)$