Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$
Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
In rule method the null set is represented by
State whether each of the following set is finite or infinite :
The set of animals living on the earth
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $B \in C,$ then $A \in C$