Write the following as intervals: $\{ x:x \in R, 3 \le x \le 4 \}$

If $A, B$,and $C$ are three sets,then $A \times (B \cup C)$ is equal to

Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$,and $C = \{0, 2, 4, 6, 8\}$,which of the following sets can be considered as a universal set for all the three sets $A$,$B$,and $C$?
$X = \{0, 1, 2, 3, 4, 5, 6\}$

If $aN = \{ ax : x \in N \}$,then the set $3N \cap 7N$ is equal to $kN$,where $k$ is:

State whether the following set is finite or infinite:
The set of numbers which are multiples of $5$.

Let $A, B,$ and $C$ be sets such that $A \cup B = A \cup C$ and $A \cap B = A \cap C$. Show that $B = C$.