If $A, B, C$ are three sets, then $A \cap (B \cup C)$ is equal to
Show that $A \cup B=A \cap B$ implies $A=B$.
If $aN = \{ ax:x \in N\} ,$ then the set $3N \cap 7N$ is .....$N$
Let $A = \{ (x,\,y):y = {e^x},\,x \in R\} $, $B = \{ (x,\,y):y = {e^{ - x}},\,x \in R\} .$ Then
State whether each of the following statement is true or false. Justify you answer.
$\{2,3,4,5\}$ and $\{3,6\}$ are disjoint sets.