$A = \{1, 2, 3\}$ and $B = \{3, 8\}$, then $(A \cup B) × (A \cap B)$ is
$\{(3, 1), (3, 2), (3, 3), (3, 8)\}$
$\{(1, 3), (2, 3), (3, 3), (8, 3)\}$
$\{(1, 2), (2, 2), (3, 3), (8, 8)\}$
$\{(8, 3), (8, 2), (8, 1), (8, 8)\}$
If $G =\{7,8\}$ and $H =\{5,4,2\},$ find $G \times H$ and $H \times G$.
If $A = \{ 2,\,4,\,5\} ,\,\,B = \{ 7,\,\,8,\,9\} ,$ then $n(A \times B)$ is equal to
State whether each of the following statements are true or false. If the statement is false, rewrite the given statement 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 the set $A$ has $3$ elements and the set $B=\{3,4,5\},$ then find the number of elements in $( A \times B ).$
The solution set of $8x \equiv 6(\bmod 14),\,x \in Z$, are