If $P,Q$ and $R$ are subsets of a set $A$, then $R × (P^c \cup Q^c)^c =$
$(R × P) \cap (R × Q)$
$(R \times Q) \cup (R \times P)$
$(R \times P) \cup (R \times Q)$
None of these
The solution set of $8x \equiv 6(\bmod 14),\,x \in Z$, are
State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.
If $A=\{1,2\}, B=\{3,4\},$ then $A \times\{B \cap \varnothing\}=\varnothing$
If $A \times B =\{(p, q),(p, r),(m, q),(m, r)\},$ find $A$ and $B$
Let $A=\{1,2\}, B=\{1,2,3,4\}, C=\{5,6\}$ and $D=\{5,6,7,8\} .$ Verify that
$A \times C$ is a subset of $B \times D$
Let $A=\{1,2\}$ and $B=\{3,4\} .$ Write $A \times B .$ How many subsets will $A \times B$ have? List them.