Let $A, B$ and $C$ be three sets. If $A \in B$ and $B \subset C$,is it true that $A \subset C$? If not,give an example.

(N/A) No,it is not true.
Consider the sets $A = \{1\}$,$B = \{\{1\}, 2\}$,and $C = \{\{1\}, 2, 3\}$.
Here,$A \in B$ because the element $\{1\}$ is present in $B$.
Also,$B \subset C$ because every element of $B$ (which are $\{1\}$ and $2$) is present in $C$.
However,$A \not\subset C$ because the element $1$ is in $A$,but $1$ is not an element of $C$ (only the set $\{1\}$ is an element of $C$).