The shaded region in the given figure is
$A \cap (B \cup C)$
$A \cup (B \cap C)$
$A \cap (B -C)$
$A -(B \cup C)$
Show that for any sets $\mathrm{A}$ and $\mathrm{B}$, $A=(A \cap B) \cup(A-B)$ and $A \cup(B-A)=(A \cup B).$
If $A, B$ and $C$ are three sets such that $A \cap B = A \cap C$ and $A \cup B = A \cup C$ then
Which of the following pairs of sets are disjoint
$\{1,2,3,4\}$ and $\{ x:x$ is a natural number and $4\, \le \,x\, \le \,6\} $
Show that $A \cup B=A \cap B$ implies $A=B$.
If $A, B$ and $C$ are any three sets, then $A -(B \cup C)$ is equal to