If set $A$ has $p$ elements and set $B$ has $q$ elements,then the number of elements in $A \times B$ is:

If $A = \{1, 2, 3\}$ and $B = \{3, 8\}$,then $(A \cup B) \times (A \cap B)$ is

If $A$ and $B$ are two sets,then $A \times B = B \times A$ if and only if

State whether the following statement is true or false. If the statement is false,rewrite it correctly.
If $A$ and $B$ are non-empty sets,then $A \times B$ is a non-empty set of ordered pairs $(x, y)$ such that $x \in A$ and $y \in B$.

If $A = \{1, 2, 4\}, B = \{2, 4, 5\}, C = \{2, 5\},$ then $(A - B) \times (B - C)$ is

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